2009•International Journal of Modern Physics BRequires access

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

YUANXI XIE, SHUHUA ZHU, Kalin Su

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.

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Key concepts: Korteweg–de Vries equation, Burgers' equation, Kuramoto model, Kadomtsev–Petviashvili equation, Mathematics, Fisher's equation, Riccati equation, Applied mathematics