Adomian decomposition method for approximating the solution of the Korteweg–deVries equation

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摘要

In this paper, the Adomian decomposition method for solving the nonlinear Korteweg–deVries equation is implemented with appropriate initial conditions. We discuss the case when the problem has either one or more solitons. Some numerical examples are presented.

论文关键词:Adomian decomposition method,Korteweg–deVries equation,Initial value problem,Adomian polynomials

论文评审过程:Available online 30 April 2004.

论文官网地址:https://doi.org/10.1016/j.amc.2004.03.021