On the existence of standing waves for a davey–stewartson system
From MaRDI portal
Publication:4030393
DOI10.1080/03605309208820872zbMath0762.35109OpenAlexW2018167168MaRDI QIDQ4030393
Publication date: 1 April 1993
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309208820872
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) NLS equations (nonlinear Schrödinger equations) (35Q55)
Related Items
Stability of standing waves for the generalized Davey-Stewartson system, On finite time blow-up for a 3D Davey-Stewartson system, The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves, Concentrating standing waves for Davey–Stewartson systems, Hydroelastic lumps in shallow water, Sharp threshold of global existence and blow-up of the combined nonlinear Klein-Gordon equation, Wave collapse in a class of nonlocal nonlinear Schrödinger equations, On the instability of ground states for a generalized Davey-Stewartson system, Traveling water waves — the ebb and flow of two centuries, Unnamed Item, Low-regularity integrator for the Davey-Stewartson system: elliptic-elliptic case, On the Cauchy problem for the Zakharov-Rubenchik/Benney-Roskes system, Three Dimensional Flexural-Gravity Waves, Existence of standing waves for a generalized Davey-Stewartson system, Stability and instability analysis for the standing waves for a generalized Zakharov-Rubenchik system, Dynamical behaviors of blowup solutions in trapped quantum gases: concentration phenomenon, Energy scattering of a generalized Davey-Stewartson system in three dimension, Existence of Davey--Stewartson Type Solitary Waves for the Fully Dispersive Kadomtsev--Petviashvilii equation, Stability of standing waves for a generalized Benney-Roskes system, Energy scattering of a modified Davey–Stewartson system in three dimensions, Concentration for blow-up solutions of the Davey-Stewartson system in \(\mathbb{R}^3\), Asymptotic behavior for the Davey-Stewartson system at the mass-energy threshold, The sharp threshold and limiting profile of blow-up solutions for a Davey-Stewartson system, Existence of solitary waves in dipolar quantum gases, Multi-solitons for a generalized Davey-Stewartson system, Scattering versus blowup beyond the mass-energy threshold for the Davey-Stewartson equation in \(\mathbb{R}^3\), Dynamical collapse of cylindrical symmetric dipolar Bose-Einstein condensates, Existence and blow-up of solutions to degenerate Davey–Stewartson equations, Symmetry of minimizers for some nonlocal variational problems, A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension, Sharp threshold of global existence and instability of standing wave for a Davey-Stewartson system, Non-existence and existence of localized solitary waves for the two-dimensional long-wave-short-wave interaction equations, Standing waves for a generalized Davey-Stewartson system: Revisited, IST Versus PDE: A Comparative Study, Existence of pseudo-conformally invariant solutions to the Davey-Stewartson system, Blow-up in several points for the Davey-Stewartson system in \(\mathbb{R}^2\), A global existence and blow-up threshold for Davey-Stewartson equations in \(\mathbb{R}^3\), On the Davey-Stewartson system with competing nonlinearities, Unnamed Item, Instability of the standing waves for a Benney-Roskes/Zakharov-Rubenchik system and blow-up for the Zakharov equations, Non-viscous regularization of the Davey-Stewartson equations: Analysis and modulation theory, Small solitons and multisolitons in the generalized Davey-Stewartson system, On the two-power nonlinear Schrödinger equation with non-local terms in Sobolev-Lorentz spaces, Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system, A new criterion and the limit of blowup solutions for a generalized Davey–Stewartson system, Stabilization in dipolar Gross-Pitaevskii theory by mass-subcritical perturbation, A numerical approach to Blow-up issues for Davey-Stewartson II systems, Sharp threshold for scattering of a generalized Davey-Stewartson system in three dimension
Cites Work
