Operational Solution to the Nonlinear Klein-Gordon Equation

G. Bengochea, L. Verde-Star, M. Ortigueira

Research output: Contribution to journalArticle

Abstract

We obtain solutions of the nonlinear Klein-Gordon equation using a novel operational method combined with the Adomian polynomial expansion of nonlinear functions. Our operational method does not use any integral transforms nor integration processes. We illustrate the application of our method by solving several examples and present numerical results that show the accuracy of the truncated series approximations to the solutions.

Original languageEnglish
Pages (from-to)506-512
Number of pages7
JournalCommunications in Theoretical Physics
Volume69
Issue number5
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • nonlinear Klein-Gordon equation
  • operational calculus
  • partial differential equations

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