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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… Click to show full abstract

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: width burgers; modified equal; burgers equation; conservation; conservation laws; equal width

Journal Title: Open Physics
Year Published: 2018

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