Top

Optical and Quantum Electronics

Published in:

01-03-2024

Dynamics of novel exact soliton solutions of concatenation model using effective techniques

Authors: M. Atta Ullah Khan, Ghazala Akram, Maasoomah Sadaf

Published in: Optical and Quantum Electronics | Issue 3/2024

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

search-config

AI-assisted search

Off

Abstract

The exact soliton solutions of concatenated model are extracted in this research paper. Two exact methods, \(\exp (-s(\Lambda ))\)-expansion method and extended \((\frac{G'}{G^{2}})\)-expansion method, are applied to extract soliton solution of concatenated model. The proposed model is concatenation of Lakshmanan-Porsezian-Daniel equation, Sasa-Satsuma equation and nonlinear Schrödinger’s equation. Many novel solutions of concatenated model such as periodic wave, bright soliton, bright-dark soliton, dark soliton, kink soliton and many other singular soliton solutions are retrieved using proposed methods. The retrieved soliton solutions play a significant role in nonlinear physics, optical fibers and quantum mechanics. In order to display the retrieved soliton solutions graphically, 2D line graphs, contour graphs and 3D graphs have been utilized.

previous article Application of nonlinear kerr effect 2D PhC-based ring resonators for design all optical 4-bit adder

next article Design of a high-efficiency perovskite solar cell based on photonic crystal in the absorption layer

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!

inform now

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!

inform now

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!

inform now

Akram, G., Sadaf, M., Khan, M.A.U.: Soliton solutions of Lakshmanan-Porsezian-Daniel model using modified auxiliary equation method with parabolic and anti-cubic law of nonlinearities. Optik 252, 1–18 (2022)ADSCrossRef

Akram, G., Sadaf, M., Khan, M.A.U., Pamiri, S.: Dynamic investigation of the Laksmanan-Porsezian-Daniel model with Kerr, parabolic, and anti-cubic laws of nonlinearities. Front. Phys. 10, 1–14 (2022)CrossRef

Akram, G., Sadaf, M., Khan, M.A.U.: Soliton dynamics of the generalized shallow water like equation in nonlinear phenomenon. Front. Phys. 10, 1–8 (2022)CrossRef

Akram, G., Sadaf, M., Khan, M.A.U.: Soliton solutions of the resonant nonlinear Schrödinger equation using modified auxiliary equation method with three different nonlinearities. Math. Comput. Simul. 206, 1–20 (2023)CrossRef

Alquran, M., Jaradat, H.M., Syam, M.I.: Analytical solution of the time-fractional Phi-4 equation by using modified residual power series method. Nonlinear Dyn. 90, 2525–2529 (2017)MathSciNetCrossRef

Arnous, A.H.: Optical solitons to the cubic quartic Bragg gratings with anti-cubic nonlinearity using new approach. Optik 251, 1–8 (2022)ADSCrossRef

Arnous, A., Ekici, M., Moshokoa, S., Zaka Ullah, M., Biswas, A., Belic, M.: Solitons in nonlinear directional couplers with optical metamaterials by trial function scheme. Acta Phys. Pol., A 132(4), 1399–1410 (2017)ADSCrossRef

Arnous, A.H., Mirzazadeh, M., Akinyemi, L., Akbulut, A.: New solitary waves and exact solutions for the fifth-order nonlinear wave equation using two integration techniques. J. Ocean Eng. Sci. 8(5), 475–480 (2022)CrossRef

Arnous, A.H., Biswas, A., Kara, A.H., Yıldırım, Y., Dragomir, C.M.B., Asiri, A.: Optical solitons and conservation laws for the concatenation model in the absence of self-phase modulation. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01392-7CrossRef

Arnous, A.H., Biswas, A., Kara, A.H., Yıldırım, Y., Moraru, L., Iticescu, C., Moldovanu, S., Alghamdi, A.A.: Optical solitons and conservation laws for the concatenation model: power-law nonlinearity. Ain Shams Eng. J. 15, 1–8 (2023)CrossRef

Arnous, A.H., Biswas, A., Kara, A.H., Yıldırım, Y., Moraru, L., Iticescu, C., Moldovanu, S., Alghamdi, A.A.: Optical solitons and conservation laws for the concatenation model with spatio-temporal dispersion (internet traffic regulation). J. Eur. Opt. Soc.-Rapid Publ. 19(2), 1–7 (2023)CrossRef

Arshed, S.: New soliton solutions to the perturbed nonlinear Schrödinger equation by exp(- \(\phi\) (\(\xi\)))-expansion method. Optik 220, 1–12 (2020)ADSCrossRef

Biswas, A., Vega-Guzman, J., Kara, A.H., Khan, S., Triki, H., González-Gaxiola, O., Moraru, L., Georgescu, P.L.: Optical solitons and conservation laws for the concatenation model: undetermined coefficients and multipliers approach. Universe 9(1), 1–10 (2022)ADSCrossRef

Chou, D., Ur Rehman, H., Amer, A., Aatika, A.: New solitary wave solutions of generalized fractional Tzitzéica-type evolution equations using sardar sub-equation method. Opt. Quant. Electron. 55(13), 1–16 (2023)CrossRef

Hosseini, K., Hincal, E., Baleanu, D., Obi, O.A., Salahshour, S.: Non-singular multi-complexiton wave to a generalized KdV equation. Nonlinear Dyn. 111(8), 7591–7597 (2023)CrossRef

Malik, S., Kumar, S., Biswas, A., Yıldırım, Y., Moraru, L., Moldovanu, S., Iticescu, C., Alshehri, H.M.: Cubic-quartic optical solitons in fiber bragg gratings with dispersive reflectivity having parabolic law of nonlinear refractive index by lie symmetry. Symmetry 14(11), 1–17 (2022)ADSCrossRef

Malik, S., Kumar, S., Biswas, A., Yıldırım, Y., Moraru, L., Moldovanu, S., Iticescu, C., Moshokoa, S.P., Bibicu, D., Alotaibi, A.: Gap solitons in fiber Bragg Gratings having polynomial law of nonlinear refractive index and cubic-quartic dispersive reflectivity by lie symmetry. Symmetry 15(5), 1–14 (2023)ADSCrossRef

Rehman, H.U., Iqbal, I., Zulfiqar, H., Gholami, D., Rezazadeh, H.: Stochastic soliton solutions of conformable nonlinear stochastic systems processed with multiplicative noise. Phys. Lett. A 486, 1–8 (2023)MathSciNetCrossRef

Sahoo, S., Ray, S.S., Abdou, M.A.: New exact solutions for time-fractional Kaup-Kupershmidt equation using improved (g’/g)-expansion and extended (g’/g)-expansion methods. Alex. Eng. J. 59(5), 3105–3110 (2020)CrossRef

Samir, I., Badra, N., Ahmed, H.M., Arnous, A.H.: Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method. Commun. Nonlinear Sci. Numer. Simul. 102, 1–12 (2021)MathSciNetCrossRef

Shahzad, M.U., Rehman, H.U., Awan, A.U., Zafar, Z., Hassan, A.M., Iqbal, I.: Analysis of the exact solutions of nonlinear coupled Drinfeld-Sokolov-Wilson equation through \(\phi\)6-model expansion method. Results Phys. 52, 1–9 (2023)CrossRef

Shi, D., Rehman, H.U., Iqbal, I., Vivas-Cortez, M., Saleem, M.S., Zhang, X.: Analytical study of the dynamics in the double-chain model of DNA. Results Phys. 52, 1–9 (2023)CrossRef

Sonmezoglu, A., Ekici, M., Arnous, A.H., Zhou, Q., Moshokoa, S.P., Ullah, M.Z., Biswas, A., Belic, M.: Parallel propagation of dispersive optical solitons by extended trial equation method. Optik 144, 565–572 (2017)ADSCrossRef

Wang, M.Y., Biswas, A., Yıldırım, Y., Moraru, L., Moldovan, S., Alshehri, H.M.: Optical solitons for a concatenation model by trial equation approach. Electronics 12(1), 1–7 (2022)CrossRef

Yadav, R., Malik, S., Kumar, S., Sharma, R., Biswas, A., Yıldırım, Y., González-Gaxiola, O., Moraru, L., Alghamdi, A.A.: Highly dispersive W-shaped and other optical solitons with quadratic-cubic nonlinearity: symmetry analysis and new Kudryashov's method. Chaos, Solitons Fractals 173, 1–8 (2023)MathSciNetCrossRef

Yıldırım, Y., Biswas, A., Moraru, L., Alghamdi, A.A.: Quiescent optical solitons for the concatenation model with nonlinear chromatic dispersion. Mathematics 11(7), 1–25 (2023)CrossRef

Zahran, E.H.M., Bekir, A.: Optical soliton solutions to the perturbed biswas-milovic equation with kudryashov s law of refractive index. Opt. Quant. Electron. 55(14), 1–23 (2023)CrossRef

Zahran, E.H.M., Bekir, A.: New variety diverse solitary wave solutions to the DNA Peyrard-Bishop model. Mod. Phys. Lett. B 37(13), 1–13 (2023)ADSMathSciNetCrossRef

Zainab, I., Akram, G.: Effect of \(\beta\)-derivative on time fractional Jaulent-Miodek system under modified auxiliary equation method and \(\exp (-g(\omega ))\)-expansion method. Chaos, Solitons Fractals 168, 1–10 (2023)CrossRef

Zayed, E.M.E., Arnous, A.H., Biswas, A., Yıldırım, Y., Asiri, A.: Optical solitons for the concatenation model with multiplicative white noise. J. Opt. (2023). https://doi.org/10.1007/s12596-023-01381-wCrossRef

Title: Dynamics of novel exact soliton solutions of concatenation model using effective techniques
Authors: M. Atta Ullah Khan
Ghazala Akram
Maasoomah Sadaf
Publication date: 01-03-2024
Publisher: Springer US
Published in: Optical and Quantum Electronics / Issue 3/2024
Print ISSN: 0306-8919
Electronic ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-023-05957-5

Springer Professional

Abstract

Please log in to get access to your license.

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

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Springer Professional "Wirtschaft"

Other articles of this Issue 3/2024

Highly sensitive temperature sensor based on nematic liquid crystal channel waveguide on silicon

The experimental and MD studies of the sorption processes of organic molecules on the SiO2 surface

Dynamic light collection system based on human posture estimation application in martial arts action teaching simulation

Optical solitons in birefringent fibers for perturbed complex Ginzburg–Landau equation with polynomial law of nonlinearity

Multi band square-shaped polarization-insensitive graphene-based perfect absorber

Construction of shock, periodic and solitary wave solutions for fractional-time Gardner equation by Jacobi elliptic function method