Exact solutions to a few nonlinear evolution equations
Xie Yuan-xi
Abstract
Xie Yuan-xi
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.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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