Interaction Solutions of the (2+1)-Dimensional Sawada-Kotera Equation

The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as well as the interaction solution of the elastic...

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Bibliographic Details
Published inAdvances in Mathematical Physics Vol. 2023; pp. 1 - 13
Main Author Meng, Yong
Format Journal Article
LanguageEnglish
Published New York Hindawi 12.01.2023
Hindawi Limited
Wiley
Subjects
Elastic properties
Elastic scattering
Inelastic collisions
Laws, regulations and rules
Partial differential equations
Physics
Simulation methods
Solitary waves
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Summary:The N-soliton solution of the (2+1)-dimensional Sawada-Kotera equation is given by using the Hirota bilinear method, and then, the conjugate parameter method and the long-wave limit method are used to get the breather solution and the lump solution, as well as the interaction solution of the elastic collision properties between them. In addition, according to the expression of the lump-type soliton solution and the striped soliton solution, the completely inelastic collision, rebound, absorption, splitting, and other particle characteristics of the two solitons in the interaction process are directly studied with the simulation method, which reveals the laws of physics reflected behind the phenomenon.
ISSN:1687-9120
1687-9139
DOI:10.1155/2023/9472715