Different-periodic travelling wave solutions for nonlinear equations

作者：Ye, LJ^*; Ji, L

来源：Communications in Theoretical Physics, 2004, 41(4): 481-486.

• linear superposition
• nonlinear equation
• travelling wave solution

Using Jacobi elliptic function linear superposition approach for the (1 1)-dimensional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation and the (2 1)-dimensional Nizhnik-Novikov-Veselov (NNV) equation, many new periodic travelling wave solutions with, different periods and velocities are obtained based on the known periodic solutions. This procedure is crucially dependent on a sequence of cyclic identities involving Jacobi elliptic functions sn (xi, m), cn (xi, m), and dn (xi, m).

• 出版日期2004-4-15
• 单位浙江师范大学; 上海交通大学