Extraction of Solitary Wave Features to the Heisenberg Ferromagnetic Spin Chain and the Complex Klein–Gordon Equations

Woadud, K. M. Abdul Al; Kumar, Dipankar; Islam, Md. Jahirul; Kayes, Md. Imrul; Kundu, Amit Kumar

doi:10.1007/s40819-019-0642-y

Cited by 11 publications

(2 citation statements)

References 51 publications

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“…The major goal of this study is to use an efficient method known as the modified Kudryashov method to generate new accurate traveling wave solutions of the (2+1)-dimensional cubic Klein-Gordon and the (3+1)-dimensional Zakharov-Kuznetsov (ZK) equations [10], [35], [36].…”

Section: Introductionmentioning

confidence: 99%

Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

Woadud

Islam

Khan

2022

IJPR

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The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Kleinâ€“Gordon (cKG) and (3+1)-dimensional Zakharovâ€“Kuznetsov (ZK) equations by using the modified Kudraysov method. As results, a portion of the new accurate voyaging wave answers for the situations above is officially delivered. All arrangements are plotted in the perspective on three-dimensional (3D) and two-dimensional (2D) line shape through the MATLAB programming for exploring the genuine meaning of the concentrated on conditions. The periodic type of solution is created using a modified Kudryashov approach, which is distinct from the other methods investigated.Â Â

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Section: Introductionmentioning

confidence: 99%

Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

Woadud

Islam

Khan

2022

IJPR

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“…Baleanu et al [42] studied optical soliton for this model. A. Kundu et al [43] applied modified KM on (2 +1)-dimensional HFSCE. In [31] authors investigates the model with the modified extended tanh expansion method using Riccati equation.…”

Section: Introductionmentioning

confidence: 99%

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

et al. 2021

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In this study, some new optical soliton solutions are obtained with generalized Riccati equation mapping method for space time conformable (2+1) dimensional Heisenberg ferromagnetic spin chain equation by using Atangana’s conformable derivative. We construct bright and dark solitons, combined bright-dark solitons, periodic wave solutions for this equation. 3D and 2D graphs of few obtained solutions are plotted to show some interesting physical features as these new results might be helpful in the study of nonlinear ferromagnetic materials and optical fibers. The procured results show that this is very robust method to originate abundant solutions for various fractional differential equations. All the results are verified by Maple program.

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On the solitonic wave structures for the perturbed nonlinear Schrödinger equation arising in optical fibers

Badshah,

Tariq,

Bekir

2023

Opt Quant Electron

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Extraction of Solitary Wave Features to the Heisenberg Ferromagnetic Spin Chain and the Complex Klein–Gordon Equations

Cited by 11 publications

References 51 publications

Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

New travelling wave solutions to (2+1)-Heisenberg ferromagnetic spin chain equation using Atangana’s conformable derivative

On the solitonic wave structures for the perturbed nonlinear Schrödinger equation arising in optical fibers

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