Stability of isotropic singularities for the nonlinear Schrödinger equation
From MaRDI portal
Publication:804837
DOI10.1016/0167-2789(91)90038-BzbMath0728.35116OpenAlexW2088988974MaRDI QIDQ804837
M. J. Landman, Xue Ping Wang, George S. Papanicolaou, Catherine Sulem, Pierre-Louis Sulem
Publication date: 1991
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(91)90038-b
NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)
Related Items
On self-similar singular solutions of the complex Ginzburg-Landau equation, On the analytical theory for stationary self-focusing of radiation, A three-dimensional adaptive method based on the iterative grid redistribution, Gap-soliton bullets in waveguide gratings, The focusing singularity of the Davey-Stewartson equations for gravity- capillary surface waves, Wave collapse and instability of solitary waves of a generalized Kadomtsev-Petviashvili equation, Generation of acoustic fronts by focusing wave packets, On the critical norm concentration for the inhomogeneous nonlinear Schrödinger equation, Post-blowup dynamics for the nonlinear Schrödinger equation, Focusing singularity in a derivative nonlinear Schrödinger equation, Dynamical stability analysis of strong/weak wave collapses, Virial type blow-up solutions for the Zakharov system with magnetic field in a cold plasma, Construction of solutions with exactly k blow-up points for the Schrödinger equation with critical nonlinearity, Blow-up dynamics in the mass super-critical NLS equations, An iterative grid redistribution method for singular problems in multiple dimensions, The focusing nonlinear Schrödinger equation: Effect of the coupling to a low frequency field, Focusing nonlinear schrödinger equation and wave-packet collapse, Optimal lower bound estimates for the blow-up rate for the Zakharov system in a nonhomogeneous medium, 3D Euler equations and ideal MHD mapped to regular systems: probing the finite-time blowup hypothesis, New singular solutions of the nonlinear Schrödinger equation, Singular ring solutions of critical and supercritical nonlinear Schrödinger equations, [https://portal.mardi4nfdi.de/wiki/Publication:4257011 Asymptotic and limiting profiles of blowup solutions of the nonlinear Schr�dinger equation with critical power], Dissipation at singularities of the nonlinear Schrödinger equation through limits of regularisations, A numerical scheme for the simulation of blow-up in the nonlinear Schrödinger equation
Cites Work
- Unnamed Item
- Focusing and multi-focusing solutions of the nonlinear Schrödinger equation
- Local structure of the self-focusing singularity of the nonlinear Schrödinger equation
- The anisotropic collapse of Langmuir waves
- Integrable systems and applications. Proceedings of a workshop held at Oléron, France, June 20-24, 1988
- Dimensionality and dissipation in Langmuir collapse