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SOLVING THE KdV-BURGERS-KURAMOTO EQUATION BY A COMBINATION METHOD

YUANXI XIE

Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang, 414000, China

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SHUHUA ZHU

Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang, 414000, China

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, and

KALIN SU

Department of Physics and Electronic Information, Hunan Institute of Science and Technology, Yueyang, 414000, China

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https://doi.org/10.1142/S0217979209052017Cited by:9 (Source: Crossref)

Abstract

Based on the analysis on the characteristics of the KdV equation, Kuramoto-Sivashinsky equation and KdV-Burgers-Kuramoto equation, a combination method is proposed to construct the explicit exact solutions for the KdV-Burgers-Kuramoto equation by combining with those of the KdV equation and Kuramoto-Sivashinsky equation. As a result, many explicit exact solutions to the KdV-Burgers-Kuramoto equation are successfully derived by this approach.

Keywords:

PACS: 02.30.Jr, 03.65.Ge

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