Travelling wave solutions of nonlinear evolution equations using the simplest equation method. (English) Zbl 1268.35107

Summary: The simplest equation method has been used for finding the exact solutions of three nonlinear evolution equations, namely the Vakhnenko-Parkes equation, the generalized regularized long wave equation and the symmetric regularized long wave equation. All three of these equations arise in fluids science, so finding their exact solutions is of great importance.


35Q53 KdV equations (Korteweg-de Vries equations)
35C07 Traveling wave solutions
Full Text: DOI


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