Symmetry reduction and exact solutions of the (3+1)-dimensional nKdV-nCBS equation

In this paper, the exact solutions of the (3+1)-dimensional nKdV-nCBS equation are investigated by various approaches. Firstly, according to Lie group theory, the (3+1)-dimensional nKdV-nCBS equation is reduced to two (1+1)-dimensional partial differential equations. Secondly, three different types...

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Bibliographic Details
Published in:	Applied mathematics letters 2023-10, Vol.144, p.108718, Article 108718
Main Authors:	Cui, Jingyi, Li, Donglong, Zhang, Teng-Fei
Format:	Article
Language:	eng
Subjects:	(3+1)-dimensional nKdV-nCBS equation [formula omitted]-soliton solutions Homoclinic test approach The Lie group method
Online Access:	Get full text
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Summary:	In this paper, the exact solutions of the (3+1)-dimensional nKdV-nCBS equation are investigated by various approaches. Firstly, according to Lie group theory, the (3+1)-dimensional nKdV-nCBS equation is reduced to two (1+1)-dimensional partial differential equations. Secondly, three different types of exact solutions are obtained by the homoclinic test approach, including the singular kinked-type periodic solitary wave solutions, the kinked solitary wave solutions and the kinked-cross periodic wave solutions. The diagrams of the solutions for the specified parameters are given. Furthermore, taking one reduced equation as an example, the N-soliton solutions are derived. And under some constraints, higher-order soliton solution can degenerate into lower-order soliton solution, which is a specific degeneration phenomenon of this equation.
ISSN:	0893-9659 1873-5452