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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.

65N99Numerical methods for BVP of PDE
35Q53KdV-like (Korteweg-de Vries) equations
Full Text: DOI
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