Quasi-periodic and non-periodic waves in (2+1)-dimensional nonlinear systems

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Abstract

New exact quasi-periodic and non-periodic solutions for the (2 + 1)-dimensional nonlinear systems are studied by means of the multi-linear variable separation approach (MLVSA) and the Jacobi elliptic functions with the space-time-dependent modulus. Though the result is valid for all the MLVSA solvable models, it is explicitly shown for the long-wave and short-wave interaction model.

Original languageEnglish
Pages (from-to)583-588
Number of pages6
JournalCommunications in Theoretical Physics
Volume44
Issue number4
DOIs
StatePublished - 15 Oct 2005
Externally publishedYes

Keywords

  • Multi-linear variable separation approach
  • Non-periodic waves
  • Quasi-periodic waves
  • The long-wave and thort-wave interaction model

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