TY - JOUR
T1 - New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation
AU - Chen, Yong
AU - Yan, Zhen Ya
AU - Li, Biao
AU - Zhang, Hong Qing
PY - 2003
Y1 - 2003
N2 - In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation, respectively. As a result, numerous explicit exact solutions, comprising new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.
AB - In this paper, we make use of a new generalized ansatz in the homogeneous balance method, the well-known Riccati equation and the symbolic computation to study a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation, respectively. As a result, numerous explicit exact solutions, comprising new solitary wave solutions, periodic wave solutions and the combined formal solitary wave solutions and periodic wave solutions, are obtained.
KW - Coupled MKdV system
KW - Periodic wave solution
KW - Riccati equation
KW - Solitary wave solution
UR - https://www.scopus.com/pages/publications/23244453689
U2 - 10.1088/1009-1963/12/1/301
DO - 10.1088/1009-1963/12/1/301
M3 - 文章
AN - SCOPUS:23244453689
SN - 1009-1963
VL - 12
SP - 1
EP - 10
JO - Chinese Physics (Overseas Edition)
JF - Chinese Physics (Overseas Edition)
IS - 1
ER -