Conservation Laws of the Boussinesq equation by the Multiplier method

In this paper, using the tools of linear algebra and calculus of variations, we obtain the conservation laws of Boussinesq equation, by the multipliers method. In this method, the determining equations for specifying multipliers are obtained from the Euler-Lagrange operator and the ux of the conservation laws are obtained through ۲-Dimensional homotopy operator.

کلیدواژه ها:

Boussinesq equation ، Conversation laws ، Multiplier method ، Homotopy op- erator ، Euler-Lagrange operator.