Exact heteroclinic breather-wave solutions for Davey-Stewartson （DSI, DSII） system with periodic boundary condition are constructed using Hirota＇s bilinear form method and generalized ansatz method. The heteroclini...Exact heteroclinic breather-wave solutions for Davey-Stewartson （DSI, DSII） system with periodic boundary condition are constructed using Hirota＇s bilinear form method and generalized ansatz method. The heteroclinic structure of wave is investigated.展开更多
In nonlinear physics, the modified Korteweg de-Vries （mKdV） as one of the important equation of nonfinear partial differential equations, its various solutions have been found by many methods. In this paper, the CRE...In nonlinear physics, the modified Korteweg de-Vries （mKdV） as one of the important equation of nonfinear partial differential equations, its various solutions have been found by many methods. In this paper, the CRE method is presented for constructing new exact solutions. In addition to the new solutions of the mKdV equation, the consistent Riccati expansion （CRE） method can unearth other equations.展开更多
基金Supported by Chinese Natural Science Foundation under Grant No. 10661002Yunnan Natural Science Foundation under Grant No. 2006A0082M
文摘Exact heteroclinic breather-wave solutions for Davey-Stewartson （DSI, DSII） system with periodic boundary condition are constructed using Hirota＇s bilinear form method and generalized ansatz method. The heteroclinic structure of wave is investigated.
基金Supported by the National Natural Science Foundation of China under Grant No.11175092Scientific Research Fund of Zhejiang Provincial Education Department under Grant No.Y201017148K.C.Wong Magna Fund in Ningbo University
文摘In nonlinear physics, the modified Korteweg de-Vries （mKdV） as one of the important equation of nonfinear partial differential equations, its various solutions have been found by many methods. In this paper, the CRE method is presented for constructing new exact solutions. In addition to the new solutions of the mKdV equation, the consistent Riccati expansion （CRE） method can unearth other equations.
