Year: 2021
Author: Hong-Cai Ma, Han-Fang Wu, Wen-Xiu Ma, Ai-Ping Deng
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 674–685
Abstract
In this paper, we study lump and interaction solutions of the (2+1)-dimensional bidirectional Sawada-Kotera equation. By using the Hirota bilinear method and considering a combined function with a positive quadratic function, we determine a few lump and interaction solutions of the bidirectional Sawada-Kotera equation. In order to ensure solvability of the corresponding solutions, five cases of necessary conditions for the parameters are explicitly presented. Dynamical properties of the resulting solutions are demonstrated, upon selecting appropriate values for the parameters.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.090920.180121
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 4 : pp. 674–685
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 12
Keywords: Soliton Hirota bilinear method bidirectional Sawada-Kotera equation lump solution interaction solution
Author Details
-
Collision phenomena between lump and kink wave solutions to a (3+1)-dimensional Jimbo–Miwa-like model
Ullah, Mohammad Safi | Ahmed, Oli | Mahbub, Md. AmanPartial Differential Equations in Applied Mathematics, Vol. 5 (2022), Iss. P.100324
https://doi.org/10.1016/j.padiff.2022.100324 [Citations: 21] -
Computational and Experimental Simulations in Engineering
Bilinear Auto-Bäcklund Transformation, Shock Waves, Breathers and X-Type Solitons for a (3 + 1)-Dimensional Generalized B-Type Kadomtsev-Petviashvili Equation in a Fluid
Zheng, Lu | Tian, Bo | Yang, Dan-Yu | Zhou, Tian-Yu2024
https://doi.org/10.1007/978-3-031-42987-3_99 [Citations: 0] -
Breathing wave solutions and Y-type soliton solutions of the $$\varvec{(3+1)}$$-dimensional Ito equation
Cui, Jingyi | Guo, Yanfeng | Zhang, JingjunNonlinear Dynamics, Vol. 111 (2023), Iss. 24 P.22523
https://doi.org/10.1007/s11071-023-09025-1 [Citations: 3] -
Lump solution and interaction solutions to the fourth-order extended (2+1)-dimensional Boiti–Leon–Manna–Pempinelli equation
Chen, Wenxia | Wang, Yi | Tian, LixinCommunications in Theoretical Physics, Vol. 75 (2023), Iss. 10 P.105003
https://doi.org/10.1088/1572-9494/acf3d6 [Citations: 3] -
Three types of periodic solutions of new (3 + 1)‐dimensional Boiti–Leon–Manna–Pempinelli equation via bilinear neural network method
Qiao, Ji‐Mei | Zhang, Run‐Fa | Yue, Rong‐Xian | Rezazadeh, Hadi | Seadawy, Aly R.Mathematical Methods in the Applied Sciences, Vol. 45 (2022), Iss. 9 P.5612
https://doi.org/10.1002/mma.8131 [Citations: 25] -
Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation
Ma, Hongcai | Gao, Yidan | Deng, AipingCommunications in Theoretical Physics, Vol. 74 (2022), Iss. 11 P.115003
https://doi.org/10.1088/1572-9494/ac633f [Citations: 4] -
Lump and rogue wave solutions to (1+1)-dimensional evolution equations
Zhou, Yuan
Partial Differential Equations in Applied Mathematics, Vol. 5 (2022), Iss. P.100252
https://doi.org/10.1016/j.padiff.2021.100252 [Citations: 3] -
Non-singular complexiton, singular complexiton and the breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation
Chai, Chunlin | Wang, Kang-JiaResults in Physics, Vol. 57 (2024), Iss. P.107348
https://doi.org/10.1016/j.rinp.2024.107348 [Citations: 1]