Application of he's parameter-expansion method for the nonlinear differential equations

N. H. Sweilam, Mohamed Khader

Research output: Contribution to journalJournal articlepeer-review

11 Scopus citations

Abstract

In this paper, the parameter-expansion method is implemented to a non-linear differential equation and a coupled system of non-linear partial differential equations. One iteration is sufficient to obtain a highly accurate solution, which is valid for the whole solution domain. Comparison of the obtained solution with the exact one shows that the method is very effective and convenient. The accuracy of this method is verified by the focusing Manakov systems by ensuring that the conserved quantities remain almost constant.

Original languageEnglish
Pages (from-to)265-272
Number of pages8
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume10
Issue number2
DOIs
StatePublished - 2009
Externally publishedYes

Keywords

  • Conserved quantities
  • Focusing manakov systems
  • Parameter-expansion method

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