TY - JOUR
T1 - Variable-coefficient projective Riccati equation method and its application to a new (2 + 1)-dimensional simplified generalized Broer-Kaup system
AU - Huang, Ding Jiang
AU - Zhang, Hong Qing
PY - 2005/1
Y1 - 2005/1
N2 - In this paper, based on a new intermediate transformation, a variable-coefficient projective Riccati equation method is proposed. Being concise and straightforward, it is applied to a new (2+1)-dimensional simplified generalized Broer-Kaup (SGBK) system. As a result, several new families of exact soliton-like solutions are obtained, beyond the travelling wave. When imposing some condition on them, the new exact solitary wave solutions of the (2+1)-dimensional SGBK system are given. The method can be applied to other nonlinear evolution equations in mathematical physics.
AB - In this paper, based on a new intermediate transformation, a variable-coefficient projective Riccati equation method is proposed. Being concise and straightforward, it is applied to a new (2+1)-dimensional simplified generalized Broer-Kaup (SGBK) system. As a result, several new families of exact soliton-like solutions are obtained, beyond the travelling wave. When imposing some condition on them, the new exact solitary wave solutions of the (2+1)-dimensional SGBK system are given. The method can be applied to other nonlinear evolution equations in mathematical physics.
UR - https://www.scopus.com/pages/publications/4243179132
U2 - 10.1016/j.chaos.2004.05.011
DO - 10.1016/j.chaos.2004.05.011
M3 - 文章
AN - SCOPUS:4243179132
SN - 0960-0779
VL - 23
SP - 601
EP - 607
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 2
ER -