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Volume 11, Issue 4
Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation

Hong-Cai Ma, Han-Fang Wu, Wen-Xiu Ma & Ai-Ping Deng

DOI: 10.4208/eajam.090920.180121

East Asian J. Appl. Math., 11 (2021), pp. 674-685.

Published online: 2021-08

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  • 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.

  • Keywords

Soliton, Hirota bilinear method, bidirectional Sawada-Kotera equation, lump solution, interaction solution

  • AMS Subject Headings

35Q51, 35Q53, 35C99, 68W30, 74J35

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{EAJAM-11-674, author = {Ma , Hong-CaiWu , Han-FangMa , Wen-Xiu and Deng , Ai-Ping}, title = {Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {4}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.090920.180121}, url = {http://global-sci.org/intro/article_detail/eajam/19367.html} }
TY - JOUR T1 - Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation AU - Ma , Hong-Cai AU - Wu , Han-Fang AU - Ma , Wen-Xiu AU - Deng , Ai-Ping JO - East Asian Journal on Applied Mathematics VL - 4 SP - 674 EP - 685 PY - 2021 DA - 2021/08 SN - 11 DO - http://doi.org/10.4208/eajam.090920.180121 UR - https://global-sci.org/intro/article_detail/eajam/19367.html KW - Soliton, Hirota bilinear method, bidirectional Sawada-Kotera equation, lump solution, interaction solution AB -

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.

Ma , Hong-CaiWu , Han-FangMa , Wen-Xiu and Deng , Ai-Ping. (2021). Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation. East Asian Journal on Applied Mathematics. 11 (4). 674-685. doi:10.4208/eajam.090920.180121
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