Exact solutions and conservation laws for the modified equal width-Burgers equation

Abstract

In this paper we study the modified equal width-Burgers equation, which describes long wave propagation in nonlinear media with dispersion and dissipation. Using the Lie symmetry method in conjunction with the (G'/G)− expansion method we construct its travelling wave solutions. Also, we determine the conservation laws by invoking the new conservation theorem due to Ibragimov. As a result we obtain energy and linear momentum conservation laws.

Keywords

• modified equal width-burgers equation
• lie point symmetries
• exact solutions
• conservation laws
• 02.30.jr
• 04.20.jb
• 11.30.-j