Construction of invariant solutions and conservation laws to the ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation

Construction of invariant solutions and conservation laws to the ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation

Abstract Under investigation in this paper is the ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation which has applications in wave propagation on the surface of shallow water. Firstly, based on the Lie symmetry method, infinitesimal generators and an optimal system of the obtain...

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Bibliographic Details
Main Authors: Ben Gao, Qinglian Yin
Format: Article
Language:English
Published: SpringerOpen 2020-11-01
Series:Boundary Value Problems
Subjects:
The ( 2 + 1 ) $(2+1)$ -dimensional integrable coupling of the KdV equation
Lie group of symmetry
Optimal system
Tanh method
Conservation laws
Online Access:http://link.springer.com/article/10.1186/s13661-020-01466-6

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http://link.springer.com/article/10.1186/s13661-020-01466-6

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