TY - JOUR
T1 - Symbolic computation of exact solutions for a nonlinear evolution equation
AU - Liu, Yinping
AU - Li, Zhibin
AU - Wang, Kuncheng
PY - 2007/3
Y1 - 2007/3
N2 - In this paper, by means of the Jacobi elliptic function method, exact double periodic wave solutions and solitary wave solutions of a nonlinear evolution equation are presented. It can be shown that not only the obtained solitary wave solutions have the property of loop-shaped, cusp-shaped and hump-shaped for different values of parameters, but also different types of double periodic wave solutions are possible, namely periodic loop-shaped wave solutions, periodic hump-shaped wave solutions or periodic cusp-shaped wave solutions. Furthermore, periodic loop-shaped wave solutions will be degenerated to loop-shaped solitary wave solutions for the same values of parameters. So do cusp-shaped solutions and hump-shaped solutions. All these solutions are new and first reported here.
AB - In this paper, by means of the Jacobi elliptic function method, exact double periodic wave solutions and solitary wave solutions of a nonlinear evolution equation are presented. It can be shown that not only the obtained solitary wave solutions have the property of loop-shaped, cusp-shaped and hump-shaped for different values of parameters, but also different types of double periodic wave solutions are possible, namely periodic loop-shaped wave solutions, periodic hump-shaped wave solutions or periodic cusp-shaped wave solutions. Furthermore, periodic loop-shaped wave solutions will be degenerated to loop-shaped solitary wave solutions for the same values of parameters. So do cusp-shaped solutions and hump-shaped solutions. All these solutions are new and first reported here.
UR - https://www.scopus.com/pages/publications/33748415351
U2 - 10.1016/j.chaos.2005.09.055
DO - 10.1016/j.chaos.2005.09.055
M3 - 文章
AN - SCOPUS:33748415351
SN - 0960-0779
VL - 31
SP - 1173
EP - 1180
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
IS - 5
ER -