A note on the auxiliary equation method for solving nonlinear partial differential equations

作者：Liu CP^*; Liu XP

来源：Physics Letters A, 2006, 348(3-6): 222-227.

DOI：10.1016/j.physleta.2005.08.062

• auxiliary equation method
• nonlinear evolution equation
• travelling wave solution

First, we pick up some solutions of an auxiliary ordinary differential equation, which were neglected by Sirendaoreji and Sun Jiong in the auxiliary equation method. Then, we give the classification of the solutions for the auxiliary ordinary differential equation depending on its three parameters. Finally, we consider the (2 + l)-dimensional dispersive long wave equations and get its more exact solitary wave solutions and reveal the relation of the exact solitary wave solutions obtained by Sirendaoreji and Sun Jiong in their paper.

• 出版日期2006-1-2
• 单位扬州大学