摘要
The sinh-Gordon equation expansion method is further extended by generalizing the sinh-Gordon equa-tion and constructing new ansatz solution of the considered equation.As its application,the (2+1)-dimensionalKonopelchenko-Dubrovsky equation is investigated and abundant exact travelling wave solutions are explicitly obtainedincluding solitary wave solutions,trigonometric function solutions and Jacobi elliptic doubly periodic function solutions,some of which are new exact solutions that we have never seen before within our knowledge.The method can be appliedto other nonlinear evolution equations in mathematical physics.
The sinh-Gordon equation expansion method is further extended by generMizing the sinh-Gordon equation and constructing new ansatz solution of the considered equation. As its application, the （2＋1）-dimensional Konopelchenko-Dubrovsky equation is investigated and abundant exact travelling wave solutions are explicitly obtained including solitary wave solutions, trigonometric function solutions and Jacobi elliptic doubly periodic function solutions, some of which are new exact solutions that we have never seen before within our knowledge. The method can be applied to other nonlinear evolution equations in mathematical physics.
基金
supported by the National Natural Science Foundation of China under Grant No.10672053
the Scientific Research Fund of the Education Department of Hunan Province under Grant No.07D064
