Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations

DOI10.1016/J.AML.2012.07.012zbMath1251.35109OpenAlexW1994698828MaRDI QIDQ714608

H. A. Erbay, Saadet Erbay

Publication date: 11 October 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2012.07.012

zbMATH Keywords

solitary wavestransverse instabilitylong wave-short wave equations

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Soliton equations (35Q51) Soliton solutions (35C08)

Cites Work

• Long-wave short-wave resonance case for a generalized Davey-Stewartson system
• Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonlinear interaction between long and short waves in a generalized elastic solid
• Long-wave short-wave resonance for nonlinear geometric optics.
• On two-dimensional packets of capillary-gravity waves
• Some solutions pertaining to the resonant interaction of long and short waves
• On a nonlinear Schrödinger equation arising in the theory of water waves
• Resonant gravity-wave interactions in a shear flow

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