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New exact solutions of the KdV-Burgers-Kuramoto equation. (English) Zbl 1142.35592
Summary: A generalized F-expansion method is proposed and applied to the KdV-Burgers-Kuramoto equation. As a result, many new and more general exact travelling wave solutions are obtained including combined non-degenerate Jacobi elliptic function solutions, solitary wave solutions and trigonometric function solutions. The method can be applied to other nonlinear partial differential equations in mathematical physics.
MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations