Article ID Journal Published Year Pages File Type
4636412 Applied Mathematics and Computation 2007 5 Pages PDF
Abstract
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.
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Physical Sciences and Engineering Mathematics Applied Mathematics
Preview
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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