2011•MSIE 2011Requires access

New exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation

DongBo Cao, LiuXian Pan, JiaRen Yan

Abstract

To obtain new exact solutions for Korteweg-de Vries Burgers equation and Korteweg-de Vries equation, with the aid of symbolic computation, the Korteweg-de Vries Burgers equation and Korteweg-de Vries equation are investigated by using the trigonometric function transform method. More exact traveling wave solutions are obtained, and new exact traveling wave solutions are obtained for Korteweg-de Vries equation. The exact solutions for the nonlinear differential evolution equation are efficient and widely applicable.

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Key concepts: Burgers' equation, Korteweg–de Vries equation, Dispersionless equation, Mathematics, Kadomtsev–Petviashvili equation, Traveling wave, Partial differential equation, Exact differential equation