nach oben

Optical and Quantum Electronics

Erschienen in:

01.02.2021

On distinctive solitons type solutions for some important nonlinear Schrödinger equations

verfasst von: M. S. Osman, J. A. T Machado, D. Baleanu, A. Zafar, M. Raheel

Erschienen in: Optical and Quantum Electronics | Ausgabe 2/2021

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config

KI-gestützte Suche

Aus

Abstract

The extended Jacobi elliptic function expansion (EJEFE) method is used to retrieve several types of optical solitons of two nonlinear Schrödinger equations, namely the Heisenberg ferromagnetic spin chains and Alfvén envelop equations. The obtained traveling wave solutions and the corresponding plots are analysed by means of the symbolic package Mathematica. The solutions show that the proposed strategy is effective and reliable for solving different types of nonlinear differential equations.

Vorheriger Artikel Coupling loss attributes of large mode-area hexagonal photonic crystal fibers in presence of misalignments: an alternative optical model

Nächster Artikel In situ synthesis of gold nanoparticles within poly (vinyl alcohol) matrix under electron accelerator radiation: photoluminescence, thermal and electrical properties

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

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!

Jetzt informieren

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!

Jetzt informieren

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!

Jetzt informieren

Abdou, M.A., Elhanbaly, A.: Construction of periodic and solitary wave solutions by the extended Jacobi elliptic function expansion method. Commun. Nonlinear Sci. Numer. Simul. 12(7), 1229–1241 (2007)MathSciNetMATHADSCrossRef

Asma, M., Triki, H., Zhou, Q., Biswas, A.: Resonant optical solitons with parabolic and dual-power laws by semi-inverse variational principle. J. Mod. Opt. 65(2), 179–184 (2018)MathSciNetADSCrossRef

Awan, A.U., Tahir, M., Rehman, H.U.: On travelling wave solutions: The Wu-Zhang system describing dispersive long waves. Mod. Phys. Lett. B 33(6), 1950059 (2019)ADSCrossRef

Biswas, A.: Optical soliton perturbation with Radhakrishnan-Kundu-Lakshmanan equation by traveling wave hypothesis. Optik 171, 217–220 (2018)ADSCrossRef

Biswas, A., Arshed, S.: Optical solitons in presence of higher order dispersion and absence of self-phase modulation. Optik 174, 452–459 (2018)ADSCrossRef

Bulut, H., Sulaiman, T.A., Baskonus, H.M.: Dark, bright and other soliton solutions to the Heisenberg ferromagnetic spin chain equation. Superlattice Microst. 123, 12–19 (2018)ADSCrossRef

Cordero, A., Jaiswal, J.P., Torregrosa, J.R.: Stability analysis of fourth-order iterative method for finding multiple roots of non-linear equations. Appl. Math. Nonlinear Sci. 4(1), 43–56 (2019)MathSciNetCrossRef

Durur, H., Ilhan, E., Bulut, H.: Novel complex wave solutions of the (2+1)-dimensional hyperbolic nonlinear Schrödinger equation. Fractal and Fract. 4(3), 41 (2020)CrossRef

Gao, W., Yel, G., Baskonus, H.M., Cattani, C.: Complex solitons in the conformable (2+1)-dimensional Ablowitz-Kaup-Newell-Segur equation. Aims Math. 5(1), 507–521 (2020a)MathSciNetCrossRef

Gao, W., Rezazadeh, H., Pinar, Z., Baskonus, H.M., Sarwar, S., Yel, G.: Novel explicit solutions for the nonlinear Zoomeron equation by using newly extended direct algebraic technique. Opt. Quantum Electron. 52(1), 52 (2020b)CrossRef

Gao, W., Senel, M., Yel, G., Baskonus, H.M., Senel, B.: New complex wave patterns to the electrical transmission line model arising in network system. AIMS Math. 5(3), 1881–1892 (2020c)MathSciNetCrossRef

Garcia Guirao, J.L., Baskonus, H.M., Kumar, A.: Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order. Mathematics 8(3), 341 (2020b)MathSciNetCrossRef

García Guirao, J.L., Baskonus, H.M., Kumar, A., Rawat, M.S., Yel, G.: Complex patterns to the (3+1)-dimensional B-type Kadomtsev-Petviashvili-Boussinesq equation. Symmetry 12(1), 17 (2020)CrossRef

Ghanbari, G., Osman, M.S., Baleanu, D.: Generalized exponential rational function method for extended Zakharov-Kuzetsov equation with conformable derivative. Mod. Phys. Lett. A 34(20), 1950155 (2019)MathSciNetMATHADSCrossRef

Guerrero Sánchez, Y., Sabir, Z., Günerhan, H., Baskonus, H.M.: Analytical and approximate solutions of a novel nervous stomach mathematical model. Discrete Dyn. Nat. Soc. 2020, 5063271 (2020)MathSciNetCrossRef

Guo, D., Tian, S.F., Zhang, T.T.: Integrability, soliton solutions and modulation instability analysis of a \((2+ 1)\)-dimensional nonlinear Heisenberg ferromagnetic spin chain equation. Comput. Math. Appl. 77(3), 770–778 (2019)MathSciNetMATHCrossRef

Inc, M., Aliyu, A.I., Yusuf, A., Baleanu, D.: Optical solitary waves, conservation laws and modulation instability analysis to the nonlinear Schrödinger’s equation in compressional dispersive Alvèn waves. Optik 155, 257–266 (2018)ADSCrossRef

Kumar, V.S., Rezazadeh, H., Eslami, M., Izadi, F., Osman, M.S.: Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity. Int. J. Appl. Comput. Math. 5(5), 127 (2019)MathSciNetMATHCrossRef

Lan, Z.Z., Gao, Y.T., Zhao, C., Yang, J.W., Su, C.Q.: Dark soliton interactions for a fifth-order nonlinear Schrödinger equation in a Heisenberg ferromagnetic spin chain. Superlattice Microst. 100, 191–197 (2016)ADSCrossRef

Latha, M.M., Christal, V.C.: An integrable model of \((2+1)\)-dimensional Heisenberg ferromagnetic spin chain and soliton excitations. Phys. Scr. 89, 065204 (2014)CrossRef

Liu, J.G., Osman, M.S., Wazwaz, A.M.: A variety of nonautonomous complex wave solutions for the (2+ 1)-dimensional nonlinear Schrödinger equation with variable coefficients in nonlinear optical fibers. Optik 180, 917–923 (2019)ADSCrossRef

Lu, D., Tariq, K.U., Osman, M.S., Baleanu, D., Younis, M., Khater, M.M.A.: New analytical wave structures for the (3+1)-dimensional Kadomtsev–Petviashvili and the generalized Boussinesq models and their applications. Results Phys. 14, 102491 (2019)CrossRef

Lu, D., Osman, M.S., Khater, M.M.A., Attia, R.A.M., Baleanu, D.: Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-Cr-X (X= Mo, Cu)) based on ternary alloys. Physica A 537, 122634 (2020)MathSciNetCrossRef

Ma, W.X., Chen, M.: Direct search for exact solutions to the nonlinear Schrödinger equation. Appl. Math. Comput. 215(8), 2835–2842 (2009)MathSciNetMATH

Ma, W.X., Lee, J.H.: A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation. Chaos Soliton. Fract. 42(3), 1356–1363 (2009)MathSciNetMATHADSCrossRef

Ma, W.X., Zhang, L.: Lump solutions with higher-order rational dispersion relations. Pramana 94(1), 34 (2020)ADSCrossRef

Ma, W.X., Zhang, Y., Tang, Y.N.: Symbolic computation of lump solutions to a combined equation involving three types of nonlinear terms. East Asian J. Appl. Math. 10(4), 732–745 (2020)MathSciNetCrossRef

Manafian, J.: Optical soliton solutions for Schrodinger type nonlinear evolution equations by the \(tan(\phi /2)\)-expansion method. Optik 127(10), 4222–4245 (2016)CrossRef

Manafian, J., Lakestani, L.: Optical solitons solutions for the Gerdjikov-Ivanov model via \(tan(\phi /2)\)-expansion method. Optik 127(20), 9603–9620 (2016)CrossRef

Osman, M.S.: Analytical study of rational and double-soliton rational solutions governed by the KdV-Sawada-Kotera-Ramani equation with variable coefficients. Nonlinear Dyn. 89(3), 2283–2289 (2017)MathSciNetCrossRef

Osman, M.S.: One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation. Nonlinear Dyn. 96(2), 1491–1496 (2019)MATHCrossRef

Osman, M.S., Abdel-Gawad, H.I.: Multi-wave solutions of the \((2+1)\)-dimensional Nizhnik-Novikov-Veselov equations with variable coefficients. Eur. Phys. J. Plus 130(10), 215 (2015)CrossRef

Osman, M.S., Machado, J.A.T.: New nonautonomous combined multi-wave solutions for (2+1)-dimensional variable coefficients KdV equation. Nonlinear Dyn. 93(2), 733–740 (2018)MATHCrossRef

Osman, M.S., Wazwaz, A.M.: A general bilinear form to generate different wave structures of solitons for a (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation. Math. Method. Appl. Sci. 42(18), 6277–6283 (2019)MathSciNetMATHADSCrossRef

Osman, M.S., Rezazadeh, H., Eslami, M.: Traveling wave solutions for (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity. Nonlinear Eng. 8(1), 559–567 (2019)ADSCrossRef

Osman, M.S., Ali, K.K., Gómez-Aguilar, J.F.: A variety of new optical soliton solutions related to the nonlinear Schrödinger equation with time-dependent coefficients. Optik 222, 165389 (2020)ADSCrossRef

Raza, N., Aslam, M., Muhammad, R., Rezazadeh, H.: Analytical study of resonant optical solitons with variable coefficients in Kerr and non-Kerr law media. Opt. Quantum Electron. 51(2), 59 (2019)CrossRef

Raza, N., Osman, M.S., Abdel-Aty, A.H., Abdel-Khalek, S., Besbes, H.R.: Optical solitons of space-time fractional Fokas-Lenells equation with two versatile integration architectures. Adv. Differ. Equ. 2020, 517 (2020)MathSciNetCrossRef

Rezazadeh, H., Neirameh, A., Eslami, M., Bekir, A., Korkmaz, A.: A sub-equation method for solving the cubic-quartic NLSE with the Kerr law nonlinearity. Mod. Phys. Lett. B 33(18), 1950197 (2019a)MathSciNetADSCrossRef

Rezazadeh, H., Korkmaz, A., Eslami, M., Mirhosseini-Alizamini, S.M.: A large family of optical solutions to Kundu-Eckhaus model by a new auxiliary equation method. Opt. Quantum Electron. 51(3), 84 (2019b)CrossRef

Shukla, P.K., Eliasson, B., Stenflo, L.: Dark and grey compressional dispersive Alfvén solitons in plasmas. Phys. Plasmas 18(6), 064511 (2011)ADSCrossRef

Sulaiman, T.A., Nuruddeen, R.I., Mikail, B.B.: Dark and singular solitons to the two nonlinear Schrödinger equations. Optik 186, 423–430 (2019)ADSCrossRef

Wang, Q.M., Gao, Y.T., Su, C.Q., Mao, B.Q., Gao, Z., Yang, J.W.: Dark solitonic interaction and conservation laws for a higher-order \((2+ 1)\)-dimensional nonlinear Schrödinger-type equation in a Heisenberg ferromagnetic spin chain with bilinear and biquadratic interaction. Ann. Phys. 363, 440–456 (2015)MATHCrossRef

Wazwaz, A.M.: A study on linear and nonlinear Schrodinger equations by the variational iteration method. Chaos Soliton. Fract. 37(4), 1136–1142 (2008)MathSciNetMATHADSCrossRef

Yang, J.Y., Ma, W.X., Khalique, C.M.: Determining lump solutions for a combined soliton equation in (2+1)-dimensions. Eur. Phys. J. Plus 135(6), 494 (2020)CrossRef

Younis, M., Cheemaa, N., Mahmood, S.A., Rizvi, S.T.R.: On optical solitons: the chiral nonlinear Schrödinger equation with perturbation and Bohm potential. Opt. Quantum Electron. 48, 542 (2016)CrossRef

Zhang, H.: Extended Jacobi elliptic function expansion method and its applications. Commun. Nonlinear Sci. Numer. Simul. 12(5), 627–635 (2007)MathSciNetMATHADSCrossRef

Zhao, X.H., Tian, B., Liu, D.Y., Wu, X.Y., Chai, J., Guo, Y.J.: Dark solitons interaction for a \((2+1)\)-dimensional nonlinear Schrödinger equation in the Heisenberg ferromagnetic spin chain. Superlattice Microst. 100, 587–595 (2016)CrossRef

Zhou, Q., Biswas, A.: Optical soliton in parity-time-symmetric mixed linear and nonlinear lattice with non-Kerr law nonlinearity. Superlattice Microst. 109, 588–598 (2017)ADSCrossRef

Zhou, Q., Ekici, M., Sonmezoglu, A.: Exact chirped singular soliton solutions of Triki-Biswas equation. Optik 181, 338–342 (2019)ADSCrossRef

Titel: On distinctive solitons type solutions for some important nonlinear Schrödinger equations
verfasst von: M. S. Osman
J. A. T Machado
D. Baleanu
A. Zafar
M. Raheel
Publikationsdatum: 01.02.2021
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 2/2021
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-020-02711-z

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Weitere Artikel der Ausgabe 2/2021

Wavelength division multiplexing transmission using multimode erbium doped fiber amplifier with elevated refractive index profile

Intensity tuning of the edge states in the imperfect topological waveguides based on the photonic crystals with the point group symmetry

Modified range equation for exact modeling and design optimization of active laser remote sensing systems

Tunable properties of omnidirectional band gap based on photonic quasicrystals containing superconducting material

Optical properties of molybdenum disulfide based photonic crystal

Optical simulation of solar cell based on ZnO/ZTO core–shell nanowire array embedded in CZTS layer