New explicit exact solutions for a generalized Hirota-Satsuma coupled KdV system and a coupled MKdV equation

作者：Chen Y^*; Yan ZY; Li B; Zhang HQ

来源：Chinese Physics, 2003, 12(1): 1-10.

• coupled MKdV system
• Riccati equation
• solitary wave solution
• periodic wave solution

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.

• 出版日期2003-1
• 单位大连理工大学