2010•Journal of Guangzhou UniversityRequires access

Abundant new exact travelling solutions for some nonlinear evolution equations

Yadong Shang

Abstract

By using new solutions of auxiliary differential equation,a direct algebraic method is described to construct the exact travelling wave solutions for nonlinear evolution partial differential equations in mathematical physics.By this method,some well-known nonlinear evolution partial differential equations with important applied backgrounds are investigated and abundant new exact travelling wave solutions are obtained.The previous results in literature are extended.

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Key concepts: Traveling wave, Nonlinear system, Partial differential equation, Mathematics, First-order partial differential equation, Mathematical analysis, Method of characteristics, Applied mathematics