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

Muslu G. M. , Lin C.

APPLICABLE ANALYSIS, cilt.99, sa.9, ss.1507-1527, 2020 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 99 Konu: 9
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00036811.2018.1538503
  • Sayfa Sayıları: ss.1507-1527


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.