Article ID Journal Published Year Pages File Type
4619682 Journal of Mathematical Analysis and Applications 2010 8 Pages PDF
Abstract

In this paper, we consider modified Korteweg–de Vries (mKdV) equation. By using the nonlocal conservation theorem method and the partial Lagrangian approach, conservation laws for the mKdV equation are presented. It is observed that only nonlocal conservation theorem method lead to the nontrivial and infinite conservation laws. In addition, invariant solution is obtained by utilizing the relationship between conservation laws and Lie-point symmetries of the equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis