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Zbl 1142.35592
Zhang, Sheng
New exact solutions of the KdV-Burgers-Kuramoto equation.
(English)
[J] Phys. Lett., A 358, No. 5-6, 414-420 (2006). ISSN 0375-9601

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 2000:
*35Q53 KdV-like equations
35Q51 Solitons

Keywords: generalized $F$-expansion method; Jacobi elliptic function solutions; solitary wave solutions; trigonometric function solutions

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Scientific prize winners of the ICM 2010
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