Long-wave short-wave resonance case for a generalized Davey-Stewartson system

DOI10.1016/J.CHAOS.2008.02.007zbMath1142.35599OpenAlexW2028395625MaRDI QIDQ944880

Ceni Babaoglu

Publication date: 10 September 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2008.02.007

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (8)

A time-splitting Galerkin finite element method for the Davey-Stewartson equations ⋮ On the exact solutions to some system of complex nonlinear models ⋮ Galerkin methods for the Davey-Stewartson equations ⋮ Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations ⋮ Transverse linear instability of solitary waves for coupled long-wave-short-wave interaction equations ⋮ New exact solutions and modulation instability for the nonlinear \((2+1)\)-dimensional Davey-Stewartson system of equation ⋮ Analytical and numerical solutions to the Davey–Stewartson equation with power-law nonlinearity ⋮ New exact solutions of the Davey-Stewartson equation with power-law nonlinearity

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• Nonlinear theory of simple micro-elastic solids. I
• On the evolution of packets of water waves
• On two-dimensional packets of capillary-gravity waves
• A General Theory for Interactions Between Short and Long Waves
• On three-dimensional packets of surface waves

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