The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves
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Publication:1341790
DOI10.1016/0167-2789(94)90167-8zbMath0815.35104OpenAlexW2022264540MaRDI QIDQ1341790
Publication date: 9 January 1995
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(94)90167-8
Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)
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Cites Work
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- Nonlinear Schrödinger equations and sharp interpolation estimates
- On the lowest eigenvalue of the Laplacian for the intersection of two domains
- Stability of isotropic singularities for the nonlinear Schrödinger equation
- Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
- Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation
- Existence of solitary waves in higher dimensions
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- On the evolution of packets of water waves
- On the initial value problem for the Davey-Stewartson systems
- Self-modulation of ion Bernstein waves
- Nonlinear modulation of gravity waves: a rigorous approach
- On the existence of standing waves for a davey–stewartson system
- On two-dimensional packets of capillary-gravity waves
- On three-dimensional packets of surface waves
- Wave Instabilities