Constructing families traveling wave solutions in terms of special function for the asymmetric Nizhnik-Novikov-Vesselov equation

  • Yong Chen*
  • , Qi Wang
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

By means of a more general ansatz and the computerized symbolic system Maple, a generalized algebraic method to uniformly construct solutions in terms of special function of nonlinear evolution equations (NLEEs) is presented. We not only successfully recover the previously-known traveling wave solutions found by Fan's method, but also obtain some general traveling wave solutions in terms of the special function for the asymmetric Nizhnik-Novikov-Vesselov equation.

Original languageEnglish
Pages (from-to)595-606
Number of pages12
JournalInternational Journal of Modern Physics C
Volume15
Issue number4
DOIs
StatePublished - May 2004
Externally publishedYes

Keywords

  • Asymmetric Nizhnik-Novikov-Vesselov equation
  • Computerized symbolic system
  • Soliton solution
  • Weierstrass and Jacobi functions

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