2011•Journal of Hunan Institute of Science and TechnologyRequires access
Solving Higher-dimensional Nonlinear Evolution Equations With the Improved Trial Function Method
Xie Yuan-xi
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Abstract
In this paper,we generalize the improved trial function method for seeking the exact solutions of nonlinear evolution equations in nonlinear mathematical physics.The technique used herein can be used to solve other higher-dimensional evolution equations presented in Ref.[10] to obtain some exact solutions,comprising the general traveling wave solutions,the analytical solitary wave solutions and the singular traveling wave solutions,of two very important higher-dimensional nonlinear nonlinear evolution equations in nonlinear mathematical physics.