A Small Dispersion Limit to the Long Wave-ShortWave Interaction Equations

Muslu G. M., Kesici E., Oruç G.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Rhodes, Yunanistan, 19 - 25 Eylül 2016, cilt.1863 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1863
  • Doi Numarası: 10.1063/1.4992735
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

We study the small dispersion limit for the three coupled long wave-short wave interaction (LSI) equations, numerically. For this aim, a numerical scheme combining the Fourier pseudo-spectral method in space and a Runge Kutta method in time is constructed. To understand the small dispersion limit, plane wave and solitary wave solutions of LSI equations are considered.