Higher-order Long-wave Short-wave Interaction Equations in a Generalized Elastic Solid

Hacinliyan I.

International Conference on Numerical Analysis and Applied Mathematics (ICNAAM), Halkidiki, Yunanistan, 19 - 25 Eylül 2011, cilt.1389 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1389
  • Doi Numarası: 10.1063/1.3636941
  • Basıldığı Şehir: Halkidiki
  • Basıldığı Ülke: Yunanistan
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this study, three coupled higher-order long-wave short-wave interaction (HOLSI) equations are derived in a cubically nonlinear dispersive elastic medium by using an asymptotic expansion method. To this end, it is observed that the coupled higher-order nonlinear Schrodinger (CHONLS) system is not valid for a case where the phase velocity of the long longitudinal wave is equal to the group velocity of the short transverse waves.