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Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation

Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation
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Year:    2020

Author:    Jalil Manafian, Onur Alp Ílhan, Karmina K. Ali, Sizar Abid Mohammed

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 549–565

Abstract

Periodic wave solutions of (3 + 1)-dimensional potential-Yu-Toda-Sasa-Fukuyama (YTSF) equation are constructed. Using the bilinear form of this equation, we chose ansatz as a combination of rational, trigonometric and hyperbolic functions. Density graphs of certain solutions in 3D and 2D situations show different cross-kink waveforms and new multi wave and cross-kink wave solutions. Moreover, we employ the semi-inverse variational principle (SIVP) in order to study the solitary, bright and dark soliton wave solutions of the YTSF equation.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.091119.140220

East Asian Journal on Applied Mathematics, Vol. 10 (2020), Iss. 3 : pp. 549–565

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Potential-Yu-Toda-Sasa-Fukuyama equation Hirota bilinear operator method semi-inverse variational principle cross-kink wave solution existence conditions.

Author Details

Jalil Manafian

Onur Alp Ílhan

Karmina K. Ali

Sizar Abid Mohammed

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