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

作者：Zhang Lihua^*

来源：Advances in Difference Equations, 2015, 2015(1): 229.

DOI：10.1186/s13662-015-0455-1

• variable coefficient combined KdV equation
• forced term
• nonlinear self-adjointness
• conservation laws
• Lie symmetry analysis

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.

• 出版日期2015-7-25
• 单位德州学院