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


Muslu G. M. , Lin C.

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

  • Cilt numarası: 99 Konu: 9
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/00036811.2018.1538503
  • Dergi Adı: APPLICABLE ANALYSIS
  • Sayfa Sayıları: ss.1507-1527

Özet

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.