A new variable coefficient Korteweg-de Vries equation-based sub-equation method and its application to the (3+1)-dimensional potential-YTSF equation

作者：Lina Song^*; Hongqing Zhang

来源：Applied Mathematics and Computation, 2007, 189(1): 560-566.

DOI：10.1016/j.amc.2006.11.119

• maple
• variable coefficient Korteweg-de Vries equation-based sub-equation method
• nonlinear evolution equations
• (3+1)-dimensional potential-YTSF equation

With the aid of Maple, we present variable coefficient Korteweg-de Vries equation-based sub-equation method. The key idea of our method is to take advantage of the variable coefficient Korteweg-de Vries equation and its various solutions to generate various solutions of nonlinear evolution equations. The efficiency of the method can be demonstrated on the (3 + 1)-dimensional potential-YTSF equation and we construct successfully its new styles of solutions.

• 出版日期2007-6-1
• 单位大连理工大学