Solving the Klein–Gordon equation by means of the homotopy analysis method
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摘要
An analytic technique, namely the homotopy analysis method, is applied to solve the nonlinear travelling waves governed by the Klein–Gordon equation. The phase speed and the solution, which are dependent on the amplitude a, are given and valid in the whole region 0 ⩽ a < + ∞.
论文关键词：Klein–Gordon equation,Travelling waves,Phase speed,Analytic solution,Homotopy analysis method
论文评审过程：Available online 23 December 2004.
论文官网地址：https://doi.org/10.1016/j.amc.2004.09.056
