Skip to main content
Top
Published in: Optical and Quantum Electronics 14/2023

01-12-2023

High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise

Authors: Salman A. AlQahtani, Reham M. A. Shohib, Mohamed E. M. Alngar, Abdulaziz M. Alawwad

Published in: Optical and Quantum Electronics | Issue 14/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This research is the first to deal with high stochastic solitons of the eighth-order NLSE that have higher polynomial nonlinearity and use Itô multiplicative white noise. We use each of an extended simplest approach, the addendum Kudryashov’s technique to achieve this. The examination of this study provides bright, singular, bright-singular and combined bright-dark solitons. These findings contribute to the advancement of our understanding of high stochastic solitons and their dynamics, which is crucial for real-world applications, particularly in optical communication systems. By comprehending the effects of stochasticity on dispersive solitons, we can enhance the design and performance of optical networks, leading to more efficient and reliable communication over long distances. Representations of the bright and combined bright-dark solutions are available in 2D and 3D. The system being studied is new and special, as are the effects that are discussed in the paper.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Literature
go back to reference Abdelrahman, M.A.E., Mohammed, W.W., Alesemi, M., Albosaily, S.: The effect of multiplicative noise on the exact solutions of nonlinear Schrodinger equation. AIMS Math. 6, 2970–2980 (2021)MathSciNetMATH Abdelrahman, M.A.E., Mohammed, W.W., Alesemi, M., Albosaily, S.: The effect of multiplicative noise on the exact solutions of nonlinear Schrodinger equation. AIMS Math. 6, 2970–2980 (2021)MathSciNetMATH
go back to reference Ahmed, S., Seadawy, A.R., Rizvi, S.T.R., Hameed, M.: Multi-peak and rational soliton propagations for (3+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics. Int. J. Geomet. Methods Mod. Phys. 20, 2350158 (2023)ADSMathSciNet Ahmed, S., Seadawy, A.R., Rizvi, S.T.R., Hameed, M.: Multi-peak and rational soliton propagations for (3+1)-dimensional generalized Konopelchenko-Dubrovsky-Kaup Kupershmidt model in fluid mechanics, ocean dynamics and plasma physics. Int. J. Geomet. Methods Mod. Phys. 20, 2350158 (2023)ADSMathSciNet
go back to reference Albosaily, S., Mohammed, W.W., Aiyashi, M.A., Abdelrahman, A.A.E.: Exact solutions of the (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation. Symmetry. 12, 1874–1886 (2020)ADS Albosaily, S., Mohammed, W.W., Aiyashi, M.A., Abdelrahman, A.A.E.: Exact solutions of the (2+1)-dimensional stochastic chiral nonlinear Schrödinger equation. Symmetry. 12, 1874–1886 (2020)ADS
go back to reference AlQahtani, S.A., Alngar, M.E.M., Shohib, R.M.A., Pathak, P.: Highly dispersive embedded solitons with quadratic \(\chi ^{(2)}\)and cubic \( \chi ^{(3)}\)non-linear susceptibilities having multiplicative white noise via Itô calculus. Chaos, Solitons and Fractals 171, 113498 (2023) AlQahtani, S.A., Alngar, M.E.M., Shohib, R.M.A., Pathak, P.: Highly dispersive embedded solitons with quadratic \(\chi ^{(2)}\)and cubic \( \chi ^{(3)}\)non-linear susceptibilities having multiplicative white noise via Itô calculus. Chaos, Solitons and Fractals 171, 113498 (2023)
go back to reference Arnous, A.H., Mirzazadeh, M., Zhou, Q., Moshokoa, S.P., Biswas, A., Belic, M.: Soliton solutions to resonant nonlinear schrodinger’s equation with time-dependent coefficients by modified simple equation method. Optik 127, 11450–11459 (2016)ADS Arnous, A.H., Mirzazadeh, M., Zhou, Q., Moshokoa, S.P., Biswas, A., Belic, M.: Soliton solutions to resonant nonlinear schrodinger’s equation with time-dependent coefficients by modified simple equation method. Optik 127, 11450–11459 (2016)ADS
go back to reference Batool, T., Seadawy, A.R., Rizvi, S.T.R., Naqvi, S.K.: Optical multi-wave, M-shaped rational solution, homoclinic breather, periodic cross-kink and various rational solutions with interactions for Radhakrishnan-Kundu-Lakshmanan dynamical model. J. Nonlinear Opt. Phys. Mater. 32(2), 2350015 (2023)ADS Batool, T., Seadawy, A.R., Rizvi, S.T.R., Naqvi, S.K.: Optical multi-wave, M-shaped rational solution, homoclinic breather, periodic cross-kink and various rational solutions with interactions for Radhakrishnan-Kundu-Lakshmanan dynamical model. J. Nonlinear Opt. Phys. Mater. 32(2), 2350015 (2023)ADS
go back to reference Bilige, S., Chaolu, T.: An extended simplest equation method and its application to several forms of the fifth-order KdV equation. Appl. Math. Comput. 216, 31463153 (2010)MathSciNetMATH Bilige, S., Chaolu, T.: An extended simplest equation method and its application to several forms of the fifth-order KdV equation. Appl. Math. Comput. 216, 31463153 (2010)MathSciNetMATH
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with Kerr law nonlinearity by F-expansion. Optik 181, 1028–1038 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with Kerr law nonlinearity by F-expansion. Optik 181, 1028–1038 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with quadratic-cubic law by F-expansion. Optik. 182, 930–943 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with quadratic-cubic law by F-expansion. Optik. 182, 930–943 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with non-local nonlinearity by F-expansion. Optik. 183, 1140–1150 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with non-local nonlinearity by F-expansion. Optik. 183, 1140–1150 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with kerr law nonlinearity by extended Jacobi’s elliptic function expansion. Optik 183, 395–400 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with kerr law nonlinearity by extended Jacobi’s elliptic function expansion. Optik 183, 395–400 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with Kerr law nonlinearity by exp-function. Optik 185, 121–125 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with Kerr law nonlinearity by exp-function. Optik 185, 121–125 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with cubic-quintic-septic law by F-expansion. Optik 182, 897–906 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with cubic-quintic-septic law by F-expansion. Optik 182, 897–906 (2019)ADS
go back to reference Biswas, A., Sonmezoglu, A., Ekici, M., Alshomrani, A.S., Belic, M.R.: Highly dispersive singular optical solitons with kerr law nonlinearity by Jacobi’s elliptic ds function expansion. Optik 192, 162954 (2019)ADS Biswas, A., Sonmezoglu, A., Ekici, M., Alshomrani, A.S., Belic, M.R.: Highly dispersive singular optical solitons with kerr law nonlinearity by Jacobi’s elliptic ds function expansion. Optik 192, 162954 (2019)ADS
go back to reference Biswas, A., Sonmezoglu, A., Ekici, M., Alshomrani, A.S.: Highly dispersive singular optical solitons having kerr law nonlinearity by Jacobi’s elliptic cs function expansion. Optik 192, 162931 (2019)ADS Biswas, A., Sonmezoglu, A., Ekici, M., Alshomrani, A.S.: Highly dispersive singular optical solitons having kerr law nonlinearity by Jacobi’s elliptic cs function expansion. Optik 192, 162931 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with cubic-quintic-septic law by extended Jacobi’s elliptic function expansion. Optik 183, 571–578 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with cubic-quintic-septic law by extended Jacobi’s elliptic function expansion. Optik 183, 571–578 (2019)ADS
go back to reference Biswas, A., Guzman, J.V., Mahmood, M.F., Khan, S., Ekici, M., Zhou, Q., Moshokoa, S.P., Belic, M.R.: Highly dispersive optical solitons with undetermined coefficients. Optik. 182, 890–896 (2019)ADS Biswas, A., Guzman, J.V., Mahmood, M.F., Khan, S., Ekici, M., Zhou, Q., Moshokoa, S.P., Belic, M.R.: Highly dispersive optical solitons with undetermined coefficients. Optik. 182, 890–896 (2019)ADS
go back to reference Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with non-local nonlinearity by exp-function. Optik. 186, 288–292 (2019)ADS Biswas, A., Ekici, M., Sonmezoglu, A., Belic, M.R.: Highly dispersive optical solitons with non-local nonlinearity by exp-function. Optik. 186, 288–292 (2019)ADS
go back to reference Gaxiola, O., Biswas, A., Yıldırım, Y., Moraru, L.: Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace-Adomian Decomposition. Mathematics. 10, 1589 (2022) Gaxiola, O., Biswas, A., Yıldırım, Y., Moraru, L.: Highly Dispersive Optical Solitons in Birefringent Fibers with Polynomial Law of Nonlinear Refractive Index by Laplace-Adomian Decomposition. Mathematics. 10, 1589 (2022)
go back to reference Jawad, A.J.M., Mirzazadeh, M., Zhou, Q., Biswas, A.: Optical solitons with anti-cubic nonlinearity using three integration schemes. Superlatti. Microstruct. 105, 1–10 (2017)ADS Jawad, A.J.M., Mirzazadeh, M., Zhou, Q., Biswas, A.: Optical solitons with anti-cubic nonlinearity using three integration schemes. Superlatti. Microstruct. 105, 1–10 (2017)ADS
go back to reference Khan, S.: Stochastic perturbation of sub-pico second envelope solitons for Triki-Biswas equation with multi-photon absorption and bandpass lters. Optik. 183, 174–178 (2019)ADS Khan, S.: Stochastic perturbation of sub-pico second envelope solitons for Triki-Biswas equation with multi-photon absorption and bandpass lters. Optik. 183, 174–178 (2019)ADS
go back to reference Khan, S.: Stochastic perturbation of optical solitons having generalized anti-cubic nonlinearity with bandpass lters and multi-photon absorption. Optik. 200, 163405 (2020)ADS Khan, S.: Stochastic perturbation of optical solitons having generalized anti-cubic nonlinearity with bandpass lters and multi-photon absorption. Optik. 200, 163405 (2020)ADS
go back to reference Khan, S.: Stochastic perturbation of optical solitons with quadratic-cubic nonlinear refractive index. Optik. 212, 164706 (2021)ADS Khan, S.: Stochastic perturbation of optical solitons with quadratic-cubic nonlinear refractive index. Optik. 212, 164706 (2021)ADS
go back to reference Kudryashov, N.A.: Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation. Optik. 206, 164335 (2020)ADS Kudryashov, N.A.: Highly dispersive optical solitons of the generalized nonlinear eighth-order Schrödinger equation. Optik. 206, 164335 (2020)ADS
go back to reference Kudryashov, N.A.: Construction of nonlinear differential equations for description of propagation pulses in optical fiber. Optik 192, 162964 (2019)ADS Kudryashov, N.A.: Construction of nonlinear differential equations for description of propagation pulses in optical fiber. Optik 192, 162964 (2019)ADS
go back to reference Kudryashov, N.A.: A generalized model for description of propagation pulses in optical fiber. Optik 189, 42–52 (2019)ADS Kudryashov, N.A.: A generalized model for description of propagation pulses in optical fiber. Optik 189, 42–52 (2019)ADS
go back to reference Kudryashov, N.A.: Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Appl. Math. Comput. 371, 124972 (2020)MathSciNetMATH Kudryashov, N.A.: Highly dispersive solitary wave solutions of perturbed nonlinear Schrödinger equations. Appl. Math. Comput. 371, 124972 (2020)MathSciNetMATH
go back to reference Kudryashov, N.A.: Mathematical model of propagation pulse in optical fiber with power nonlinearities. Optik 212, 164750 (2020)ADS Kudryashov, N.A.: Mathematical model of propagation pulse in optical fiber with power nonlinearities. Optik 212, 164750 (2020)ADS
go back to reference Kudryashov, N.A.: Method for finding highly dispersive optical solitons of nonlinear differential equations. Optik 206, 163550 (2020)ADS Kudryashov, N.A.: Method for finding highly dispersive optical solitons of nonlinear differential equations. Optik 206, 163550 (2020)ADS
go back to reference Kudryashov, N.A.: Solitary wave solutions of hierarchy with non-local nonlinearity. Appl. Math. Lett. 103, 106155 (2020)MathSciNetMATH Kudryashov, N.A.: Solitary wave solutions of hierarchy with non-local nonlinearity. Appl. Math. Lett. 103, 106155 (2020)MathSciNetMATH
go back to reference Kudryashov, N.A., Antonova, E.V.: Solitary waves of equation for propagation pulse with power nonlinearities. Optik 217, 164881 (2020)ADS Kudryashov, N.A., Antonova, E.V.: Solitary waves of equation for propagation pulse with power nonlinearities. Optik 217, 164881 (2020)ADS
go back to reference Mohammed, W.W., El-Morshedy, M.: The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik-Novikov-Veselov system. Math. Comput. Simul. 190, 192–202 (2021)MathSciNetMATH Mohammed, W.W., El-Morshedy, M.: The influence of multiplicative noise on the stochastic exact solutions of the Nizhnik-Novikov-Veselov system. Math. Comput. Simul. 190, 192–202 (2021)MathSciNetMATH
go back to reference Mohammed, W.W., Ahmad, H., Hamza, A.E., Aly, E.S., El-Morshedy, M., Elabbasy, E.M.: The exact solutions of the stochastic Ginzburg-Landau equation. Res. Phys. 23, 103988 (2021) Mohammed, W.W., Ahmad, H., Hamza, A.E., Aly, E.S., El-Morshedy, M., Elabbasy, E.M.: The exact solutions of the stochastic Ginzburg-Landau equation. Res. Phys. 23, 103988 (2021)
go back to reference Mohammed, W.W., Iqbal, N., Ali, A., El-Morshedy, M.: Exact solutions of the stochastic new coupled Konno-Oono equation. Res. Phys. 21, 103830 (2021) Mohammed, W.W., Iqbal, N., Ali, A., El-Morshedy, M.: Exact solutions of the stochastic new coupled Konno-Oono equation. Res. Phys. 21, 103830 (2021)
go back to reference Raza, N., Javid, A.: Dynamics of optical solitons with Radhakrishnan-Kundu-Lakshmanan model via two reliable integration schemes. Optik 178, 557–566 (2019)ADS Raza, N., Javid, A.: Dynamics of optical solitons with Radhakrishnan-Kundu-Lakshmanan model via two reliable integration schemes. Optik 178, 557–566 (2019)ADS
go back to reference Raza, N., Zubair, A.: Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity. Mod. Phys. Lett. B 33, 1950158 (2019)ADS Raza, N., Zubair, A.: Optical dark and singular solitons of generalized nonlinear Schrödinger’s equation with anti-cubic law of nonlinearity. Mod. Phys. Lett. B 33, 1950158 (2019)ADS
go back to reference Raza, N., Murtaza, I.G., Sial, S., Younis, M.: On solitons: the biomolecular nonlinear transmission line models with constant and time variable coefficients. Waves Rand. Compl. Media 28, 553–569 (2017)ADSMathSciNetMATH Raza, N., Murtaza, I.G., Sial, S., Younis, M.: On solitons: the biomolecular nonlinear transmission line models with constant and time variable coefficients. Waves Rand. Compl. Media 28, 553–569 (2017)ADSMathSciNetMATH
go back to reference Raza, N., Seadawy, A.R., Kaplan, M., Butt, A.R.: Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications. Phys. Scr 96, 105216 (2021)ADS Raza, N., Seadawy, A.R., Kaplan, M., Butt, A.R.: Symbolic computation and sensitivity analysis of nonlinear Kudryashov’s dynamical equation with applications. Phys. Scr 96, 105216 (2021)ADS
go back to reference Rehman, H.U., Awan, A.U., Allahyani, S.A., ElDin, E.M., Binyamin, M.A., Yasin, S.: Exact solution of paraxial wave dynamical model with Kerr Media by using \(\phi ^{6}-\)model expansion technique. Res. Phys. 42, 105975 (2022) Rehman, H.U., Awan, A.U., Allahyani, S.A., ElDin, E.M., Binyamin, M.A., Yasin, S.: Exact solution of paraxial wave dynamical model with Kerr Media by using \(\phi ^{6}-\)model expansion technique. Res. Phys. 42, 105975 (2022)
go back to reference Rehman, H.U., Jafar, S., Javed, A., Hussain, S., Tahir, M.: New optical solitons of Biswas-Arshed equation using different techniques. Optik 206, 163670 (2020)ADS Rehman, H.U., Jafar, S., Javed, A., Hussain, S., Tahir, M.: New optical solitons of Biswas-Arshed equation using different techniques. Optik 206, 163670 (2020)ADS
go back to reference Rehman, H.U., Iqbal, I., Hashemi, M.S., Mirzazadeh, M., Eslami, M.: Analysis of cubic-quartic-nonlinear Schrödinger’s equation with cubic-quintic-septic-nonic form of self-phase modulation through different techniques. Optik 287, 171028 (2023)ADS Rehman, H.U., Iqbal, I., Hashemi, M.S., Mirzazadeh, M., Eslami, M.: Analysis of cubic-quartic-nonlinear Schrödinger’s equation with cubic-quintic-septic-nonic form of self-phase modulation through different techniques. Optik 287, 171028 (2023)ADS
go back to reference Rehman, H.U., Awan, A.U., Eldin, S.M., Iqbal, I.: Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise. Math 8, 21606–21621 (2023)MathSciNet Rehman, H.U., Awan, A.U., Eldin, S.M., Iqbal, I.: Study of optical stochastic solitons of Biswas-Arshed equation with multiplicative noise. Math 8, 21606–21621 (2023)MathSciNet
go back to reference Rizvi, S.T.R., Seadawy, A.R., Nimra, A.: Study of lump, rogue, multi, M shaped, periodic cross kink, breather lump, kink-cross rational waves and other interactions to the Kraenkel-Manna-Merle system in a saturated ferromagnetic material. Opt. Quant. Elect. 55, 813 (2023) Rizvi, S.T.R., Seadawy, A.R., Nimra, A.: Study of lump, rogue, multi, M shaped, periodic cross kink, breather lump, kink-cross rational waves and other interactions to the Kraenkel-Manna-Merle system in a saturated ferromagnetic material. Opt. Quant. Elect. 55, 813 (2023)
go back to reference Rizvi, S.T.R., Seadawy, A.R., Batool, T., Ali, K.: Several new analytical solutions for Davydov solitons in \(\alpha -\)helix proteins. Int. J. Mod. Phys. B 36(30), 2250213 (2022)ADS Rizvi, S.T.R., Seadawy, A.R., Batool, T., Ali, K.: Several new analytical solutions for Davydov solitons in \(\alpha -\)helix proteins. Int. J. Mod. Phys. B 36(30), 2250213 (2022)ADS
go back to reference Rizvi, S.T.R., Seadawy, A.R., Farah, N., Ahmad, S.: Controlling optical soliton solutions for higher order Boussinesq equation using bilinear form. Opt. Quant. Electron. 55, 865 (2023) Rizvi, S.T.R., Seadawy, A.R., Farah, N., Ahmad, S.: Controlling optical soliton solutions for higher order Boussinesq equation using bilinear form. Opt. Quant. Electron. 55, 865 (2023)
go back to reference Seadawy, A.R., Rizvi, S.T.R., Ahmed, S., Bashir, A.: Lump solutions, Kuznetsov-Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod. Chaos, Solitons and Fractals 163, 112563 (2022)MathSciNetMATH Seadawy, A.R., Rizvi, S.T.R., Ahmed, S., Bashir, A.: Lump solutions, Kuznetsov-Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod. Chaos, Solitons and Fractals 163, 112563 (2022)MathSciNetMATH
go back to reference Younas, U., Seadawy, A.R., Younis, M., Rizvi, S.T.R.: Construction of analytical wave solutions to the conformable fractional dynamical system of ion sound and Langmuir waves. Waves Rand.Compl. Media 32(6), 2587–2605 (2022)ADSMathSciNetMATH Younas, U., Seadawy, A.R., Younis, M., Rizvi, S.T.R.: Construction of analytical wave solutions to the conformable fractional dynamical system of ion sound and Langmuir waves. Waves Rand.Compl. Media 32(6), 2587–2605 (2022)ADSMathSciNetMATH
go back to reference Zayed, E.M.E., Shohib, R.M.A., Alngar, M.E.M., Biswas, A., Yildirim, Y., Dakova, A., Alshehri, H.M., Belic, Milivoj R.: Optical solitons with Sasa-Sastuma model having multiplicative noise via Itô calculus. Ukrain. J. Phys. Opt. 23, 9–14 (2022) Zayed, E.M.E., Shohib, R.M.A., Alngar, M.E.M., Biswas, A., Yildirim, Y., Dakova, A., Alshehri, H.M., Belic, Milivoj R.: Optical solitons with Sasa-Sastuma model having multiplicative noise via Itô calculus. Ukrain. J. Phys. Opt. 23, 9–14 (2022)
go back to reference Zayed, E.M.E., Shohib, R.M.A.: Optical solitons and other solutions to Biswas-Arshed equation using the extended simplest equation method. Optik 185, 626–635 (2019)ADS Zayed, E.M.E., Shohib, R.M.A.: Optical solitons and other solutions to Biswas-Arshed equation using the extended simplest equation method. Optik 185, 626–635 (2019)ADS
go back to reference Zayed, E.M.E., Gepreel, K.A., Alngar, M.E.M.: Addendum to Kudryashov’s method for finding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov’s sextic power law of refractive index. Optik. 230, 166311 (2021)ADS Zayed, E.M.E., Gepreel, K.A., Alngar, M.E.M.: Addendum to Kudryashov’s method for finding solitons in magneto-optics waveguides to cubic-quartic NLSE with Kudryashov’s sextic power law of refractive index. Optik. 230, 166311 (2021)ADS
go back to reference Zayed, E.M.E., Alngar, M.E.M., Shohib, R.M.A., Gepreel, K.A., Nofal, T.A.: Optical solitons with (2+1)-dimensional nonlinear Schrödinger equation having spatio-temporal dispersion and multiplicative white noise via Itô calculus. Optik. 261, 169204 (2022)ADS Zayed, E.M.E., Alngar, M.E.M., Shohib, R.M.A., Gepreel, K.A., Nofal, T.A.: Optical solitons with (2+1)-dimensional nonlinear Schrödinger equation having spatio-temporal dispersion and multiplicative white noise via Itô calculus. Optik. 261, 169204 (2022)ADS
go back to reference Zubair, A., Raza, N., Mirzazadeh, M., Liu, W., Zhou, Q.: Analytic study on optical solitons in parity-time-symmetric mixed linear and nonlinear modulation lattices with non-Kerr nonlinearities. Optik 173, 249–262 (2018)ADS Zubair, A., Raza, N., Mirzazadeh, M., Liu, W., Zhou, Q.: Analytic study on optical solitons in parity-time-symmetric mixed linear and nonlinear modulation lattices with non-Kerr nonlinearities. Optik 173, 249–262 (2018)ADS
go back to reference Zulfiqar, H., Aashiq, A., Tariq, K.U., Ahmad, H., Almohsen, B., Aslam, M., Rehman, H.U.: On the solitonic wave structures and stability analysis of the stochastic nonlinear Schrödinger equation with the impact of multiplicative noise. Optik 289, 171250 (2023)ADS Zulfiqar, H., Aashiq, A., Tariq, K.U., Ahmad, H., Almohsen, B., Aslam, M., Rehman, H.U.: On the solitonic wave structures and stability analysis of the stochastic nonlinear Schrödinger equation with the impact of multiplicative noise. Optik 289, 171250 (2023)ADS
Metadata
Title
High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise
Authors
Salman A. AlQahtani
Reham M. A. Shohib
Mohamed E. M. Alngar
Abdulaziz M. Alawwad
Publication date
01-12-2023
Publisher
Springer US
Published in
Optical and Quantum Electronics / Issue 14/2023
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-023-05478-1

Other articles of this Issue 14/2023

Optical and Quantum Electronics 14/2023 Go to the issue