A new Korteweg–de Vries equation-based sub-equation method and its application to the (2 + 1)-dimensional Korteweg–de Vries equation
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摘要
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.
论文关键词:Korteweg–de Vries equation-based sub-equation method,(2 + 1)-dimensional Korteweg–de Vries equation,N-soliton solution,Nonlinear partial differential equations
论文评审过程:Available online 24 October 2006.
论文官网地址:https://doi.org/10.1016/j.amc.2006.09.045