Project supported by the National Natural Science Foundation of China (Grant No 10272071) and the Natural Science Foundation of Zhejiang Lishui University of China (Grant Nos KZ05004 and KY06024).
In this paper, the improved Jacobian elliptic function expansion approach is extended and applied to constructing discrete solutions of the semi-discrete coupled modified Korteweg de Vries (mKdV) equations with the ...
Project supported by the National Natural Science Foundation of China (Grant No 10272071), the Natural Science Foundation of Zhejiang Province, China (Grant No Y606049) and the Key Academic Discipline of Zhejiang Province, China (Grant No 200412). Acknowledgments The authors are indebted to Professors Zhang J F, Zheng C L and Drs Zhu J M, Huang W H for their helpful suggestions and fruitful discussions.
Using the projective Riccati equation expansion (PREE) method, new families of variable separation solutions (including solitary wave solutions, periodic wave solutions and rational function solutions) with arbitr...
Project supported by the National Natural Science Foundation of China (Grant No.10272071)
The extended Jacobian elliptic function expansion method is introduced and applied to solve the coupled ZK equations and the coupled KP equations describing two weakly long nonlinear wave models in fluid system. Many ...
Project supported by the National Natural Science Foundation of China (Grant No 10272071), the Natural Science Foundation of Zhejiang Province, China (Grant No Y604106) and the Key Academic Discipline of Zhejiang Province, China (Grant No 200412).The authors would like to thank Professor Zhang J F for his fruitful discussion and helpful suggestion.
Using the mapping approach via a Riccati equation, a series of variable separation excitations with three arbitrary functions for the (2+1)-dimensional dispersive long wave (DLW) equation are derived. In addition...
Project supported by the National Natural Science Foundation of China (Grant No 10272071) and the Key Assisted Academic Discipline of Zhejiang Province (Grant No 200337).
By means of a Painlevé-Baicklund transformation and a multi-linear separation-of-variable approach, abundant localized coherent excitations of a modified Broer-Kaup system are derived. There appear possible phase shi...