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New exact solutions to the KdV-Burgers-Kuramoto equation with the Exp-function method. (English) Zbl 1242.65270

Summary: Based on the characteristics of the truncated Painlevé expansion method and the Exp-function method, new generalized solitary wave solutions are constructed for the KdV-Burgers-Kuramoto equation, which cannot be directly constructed from the Exp-function method. This work highlights the power of the Exp-function method in providing generalized solitary wave solutions of different physical structures.
Editorial remark: See also [H.-Z. Liu, Abstr. Appl. Anal. 2014, Article ID 240784, 4 p. (2014; Zbl 1469.65171)].

MSC:

65N99 Numerical methods for partial differential equations, boundary value problems
35Q53 KdV equations (Korteweg-de Vries equations)

Citations:

Zbl 1469.65171
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References:

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