A new Korteweg-de Vries equation-based sub-equation method and its application to the (2+1)-dimensional Korteweg-de Vries equation

作者：Song Lina^*; Zhang Hongqing

来源：Applied Mathematics and Computation, 2007, 187(2): 1368-1372.

DOI：10.1016/j.amc.2006.09.045

• Korteweg-de Vries equation-based sub-equation method
• (2+1)-dimensional Korteweg-de Vries equation
• N-soliton solution
• nonlinear partial differential equations

With the help of the symbolic computation system Maple, we present Korteweg-de Vries equation-based sub-equation method. Being concise and straightforward, it is applied to the (2 + 1)-dimensional Korteweg-de Vries equation. It is shown that N-soliton solution of the (2 + 1)-dimensional Korteweg-de Vries equation can be found by this new method. The method can be applied to other nonlinear partial differential equations in mathematical physics.

• 出版日期2007-4-15
• 单位大连理工大学