TY - JOUR
T1 - Elliptic equation rational expansion method and new exact travelling solutions for Whitham-Broer-Kaup equations
AU - Chen, Yong
AU - Wang, Qi
AU - Li, Biao
PY - 2005/10
Y1 - 2005/10
N2 - Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons & Fractals 2004;20:609], are also clarified generally.
AB - Based on a new general ansatz and a general subepuation, a new general algebraic method named elliptic equation rational expansion method is devised for constructing multiple travelling wave solutions in terms of rational special function for nonlinear evolution equations (NEEs). We apply the proposed method to solve Whitham-Broer-Kaup equation and explicitly construct a series of exact solutions which include rational form solitary wave solution, rational form triangular periodic wave solutions and rational wave solutions as special cases. In addition, the links among our proposed method with the method by Fan [Chaos, Solitons & Fractals 2004;20:609], are also clarified generally.
UR - https://www.scopus.com/pages/publications/17644415361
U2 - 10.1016/j.chaos.2004.12.020
DO - 10.1016/j.chaos.2004.12.020
M3 - 文章
AN - SCOPUS:17644415361
SN - 0960-0779
VL - 26
SP - 231
EP - 246
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 1
ER -