WKB analysis for the three coupled long wave–short wave interaction equations

Gulcin M. Muslu*, Chi Kun Lin

*Corresponding author for this work

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1 Citation (Scopus)


This paper is devoted to the WKB analysis of the three coupled long wave–short wave interaction (LSI for short) equations. We consider the zero-dispersion limit of the LSI for initial data with Sobolev regularity, before the shocks appear in the limit system. For the smooth solution, the limit system is given by the two fluids equations. The split-step Fourier method is also employed to justify the numerical simulation of the small dispersion limit.

Original languageEnglish
Pages (from-to)1507-1527
Number of pages21
JournalApplicable Analysis
Issue number9
Publication statusPublished - 3 Jul 2020


  • WKB analysis
  • dispersive perturbation
  • long wave
  • quasilinear hyperbolic system
  • short wave
  • split-step Fourier method

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