2006•Journal of Yunnan Normal UniversityRequires access

Accurate solutions given by deforming some complex equations to Burgers equation

Weng Jian-ping

Abstract

We gusee that some accurate travelling wave solutions of the complex nonlinear partial differential equation can be composed by ones of the simple nonlinear partial differential equation in accordance with the deforming technique.This above idea is verified in this paper when the complex nonlinear partial differential equation are selected as the mKdV equation,the generalized KdV equation,the nonlinear heat conduction equation respectively,and the simple nonlinear partial differential equation is selected as the Burgers equations.

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Available abstract

Key concepts: Burgers' equation, First-order partial differential equation, Partial differential equation, Mathematics, Korteweg–de Vries equation, Nonlinear system, Hyperbolic partial differential equation, Mathematical analysis