A generalized new auxiliary equation method and its application to the (2+1)-dimensional breaking soliton equations

作者：Zhang Sheng^*

来源：Applied Mathematics and Computation, 2007, 190(1): 510-516.

DOI：10.1016/j.amc.2007.01.042

• NLPDEs
• new auxiliary equation method
• soliton-like solutions
• trigonometric function solutions
• exponential solutions

In this paper, the new auxiliary equation method [Sirendaoreji, A new auxiliary equation and exact travelling wave solutions of non-linear equations, Phys. Lett. A 356 (2006) 124-130] is improved and a generalized new auxiliary equation method is proposed to construct more general exact solutions of non-linear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional breaking soliton equations to illustrate the validity and advantages of the method. As a result, many new and more general non-travelling wave and coefficient function solutions are obtained including soliton-like solutions, trigonometric function solutions, exponential solutions.

• 出版日期2007-7-1
• 单位渤海大学