Trivial conservation laws and solitary wave solution of the fifth order Lax equation

Abstract

The current study deals with the conservation laws and exact solutions of the Lax equation, which is a special case of the fifth-order KdV equation. The trivial conservation laws obtained by using conservation theorem. In addition, the exact solutions are found with the help of the extended sinh–Gordon expansion method (esGEM). For a suitable value of the solutions the 3D surfaces have been plotted by Maple.

Keywords

• Conservation law
• Exact solution
• Symbolic computation
• Extended sinh–Gordon​ equation expansion method
• Lax equation