2007•Journal of Hunan Institute of Science and TechnologyRequires access

Exact solutions to a few nonlinear evolution equations

Xie Yuan-xi

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Abstract

In this paper,we extend a new method for constructing the exact solutions of nonlinear evolution equations proposed in Ref.[30]to derive some exact solutions,including the general traveling wave solutions,the analytical solitary wave solutions and the singular traveling wave solutions,of a few very important nonlinear evolution equations in nonlinear mathematical physics.The approach used herein can be employed to solve other nonlinear evolution equations in nonlinear mathematical physics.

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What this paper is about

In this paper,we extend a new method for constructing the exact solutions of nonlinear evolution equations proposed in Ref.[30]to derive some exact solutions,including the general traveling wave solutions,the analytical solitary wave solutions and the singular traveling wave solutions,of a few very important nonlinear evolution equations in nonlinear mathematical physics.The approach used herein can be employed to solve other nonlinear evolution equations in nonlinear mathematical physics.

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Available abstract

In this paper,we extend a new method for constructing the exact solutions of nonlinear evolution equations proposed in Ref.[30]to derive some exact solutions,including the general traveling wave solutions,the analytical solitary wave solutions and the singular traveling wave solutions,of a few very important nonlinear evolution equations in nonlinear mathematical physics.The approach used herein can be employed to solve other nonlinear evolution equations in nonlinear mathematical physics.

Key concepts: Nonlinear system, Traveling wave, Mathematics, Applied mathematics, Exact solutions in general relativity, Mathematical analysis, Physics, Quantum mechanics

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