Nonlinear self-adjointness and conservation laws of the variable coefficient combined KdV equation with a forced term

Advances in Difference Equations

Lihua Zhang¹ 

[1] School of Mathematics, Dezhou University, Dezhou, China

关键词: variable coefficient combined KdV equation;    forced term;    nonlinear self-adjointness;    conservation laws;    Lie symmetry analysis;    35G20;    35L65;    58J70;   

DOI  :  10.1186/s13662-015-0455-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, nonlinear self-adjointness and conservation laws for the variable coefficient combined KdV equation with a forced term are studied. We discuss its self-adjointness and find that the equation is nonlinearly self-adjoint. At the same time, the formal Lagrangian for the equation is obtained. Having performed Lie symmetry analysis for the equation, we derive several nontrivial conservation laws for the equation by using a general theorem on conservation laws, given by Ibragimov.

【 授权许可】

CC BY