A generalized new auxiliary equation method and its applications to nonlinear partial ifferential equations

作者：Zhang Sheng^*; Xia Tiecheng

来源：Physics Letters A, 2007, 363(5-6): 356-360.

DOI：10.1016/j.physleta.2006.11.035

• exact solutions
• nonlinear partial differential equations
• auxiliary equation method
• combined KdV-mKdV equation
• asymmetric Nizhnik-Novikov-Vesselov equations

In this Letter, a generalized new auxiliary equation method is proposed for constructing more general exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the combined KdV-mKdV equation and the (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Vesselov equations to illustrate the validity and advantages of the method. As a result, many new and more general exact solutions are obtained.

• 出版日期2007-4-9
• 单位上海大学; 渤海大学