2007•Journal of Anhui UniversityRequires access

Exact solutions to the KdV-Burgers equation and KdV-Burgers-Kuramoto equation

Zhu Shu-hua

Abstract

In this paper,based on the analysis of the characteristics of the KdV-Burgers equation and KdV-Burgers-Kuramoto equation,a method is presented to construct the exact solutions for the KdV-Burgers equation and KdV-Burgers-Kuramoto equation from those of the Burgers equation together with KdV equation and KdV equation together with Kuramoto-Sivashinsky equation by linear superposition.Finally,many exact solutions of the KdV-Burgers equation and KdV-Burgers-Kuramoto equation is derived by means of this approach.

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Key concepts: Burgers' equation, Korteweg–de Vries equation, Mathematics, Kadomtsev–Petviashvili equation, Superposition principle, Mathematical analysis, Partial differential equation, Nonlinear system