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Volume 10, Issue 3
Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation

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

DOI: 10.4208/eajam.091119.140220

East Asian J. Appl. Math., 10 (2020), pp. 549-565.

Published online: 2020-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35K20, 65M06, 65M12

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-10-549, author = {Manafian , JalilAlp Ílhan , OnurK. Ali , Karmina and Abid Mohammed , Sizar}, title = {Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2020}, volume = {10}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.091119.140220}, url = {http://global-sci.org/intro/article_detail/eajam/16982.html} }
TY - JOUR T1 - Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation AU - Manafian , Jalil AU - Alp Ílhan , Onur AU - K. Ali , Karmina AU - Abid Mohammed , Sizar JO - East Asian Journal on Applied Mathematics VL - 3 SP - 549 EP - 565 PY - 2020 DA - 2020/06 SN - 10 DO - http://doi.org/10.4208/eajam.091119.140220 UR - https://global-sci.org/intro/article_detail/eajam/16982.html KW - Potential-Yu-Toda-Sasa-Fukuyama equation, Hirota bilinear operator method, semi-inverse variational principle, cross-kink wave solution, existence conditions. AB -

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.

Manafian , JalilAlp Ílhan , OnurK. Ali , Karmina and Abid Mohammed , Sizar. (2020). Cross-Kink Wave Solutions and Semi-Inverse Variational Method for (3 + 1)-Dimensional Potential-YTSF Equation. East Asian Journal on Applied Mathematics. 10 (3). 549-565. doi:10.4208/eajam.091119.140220
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