Explicit exact solutions to nonlinear coupled differential equations

  • Zhi Bin Li*
  • , Ruo Xia Yao
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A method for constructing explicit exact solutions of coupled ordinary nonlinear differential equations by using the special solutions of Riccati equations is proposed. Two coupled nonlinear differentiall equations are studied using this method, and several new solutions (either functional or parametrical) are explicitly obtained, in addition to rederiving all known solutions in a systematic way.

Original languageEnglish
Pages (from-to)2066-2067
Number of pages2
JournalWuli Xuebao/Acta Physica Sinica
Volume50
Issue number11
StatePublished - Nov 2001

Keywords

  • Coupled nonlinear differential equations
  • Riccati equations
  • Solitary wave
  • Symbolic computation

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