2008•Modern Physics Letters BRequires access

SOLVING THE GENERALIZED BURGERS–KdV EQUATION BY A COMBINATION METHOD

YUANXI XIE

Abstract

In view of the analysis on the characteristics of the generalized Burgers equation, generalized KdV equation and generalized Burgers–KdV equation, a combination method is presented to seek the explicit and exact solutions to the generalized Burgers–KdV equation by combining with those of the generalized Burgers equation and generalized KdV equation. As a result, many explicit and exact solutions for the generalized Burgers–KdV equation are successfully obtained by this technique.

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Key concepts: Korteweg–de Vries equation, Burgers' equation, Mathematics, Kadomtsev–Petviashvili equation, Applied mathematics, Mathematical analysis, Partial differential equation, Physics