Stabilizing blow up solutions to nonlinear Schrödinger equations
From MaRDI portal
Publication:519552
DOI10.3934/CPAA.2017051zbMath1362.35283OpenAlexW2592960813MaRDI QIDQ519552
Laurent Di Menza, Olivier Goubet
Publication date: 5 April 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017051
Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Blow-up in context of PDEs (35B44)
Related Items (2)
Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions ⋮ Numerical methods for some nonlinear Schrödinger equations in soliton management
Cites Work
- Unnamed Item
- Unnamed Item
- On the supercritical KdV equation with time-oscillating nonlinearity
- On the critical KdV equation with time-oscillating nonlinearity.
- Rotation prevents finite-time breakdown
- Blow-up solutions to the nonlinear Schrödinger equation with oscillating nonlinearities
- The nonlinear Schrödinger equation. Self-focusing and wave collapse
- Well-posedness and averaging of NLS with time-periodic dispersion management
- A Schrödinger equation with time-oscillating nonlinearity
- Numerical studies of stabilized Townes solitons
- On the regularization mechanism for the periodic Korteweg-de Vries equation
- Numerical computation of solitons for optical systems
- On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations
- Infinitely many radial solutions of a variational problem related to dispersion-managed optical fibers
- Numerical study of two‐dimensional stochastic NLS equations
- Stabilizing effects of dispersion management
- Numerical simulation of focusing stochastic nonlinear Schrödinger equations
- Absorbing boundary conditions on a hypersurface for the Schrödinger equation in a half-space
This page was built for publication: Stabilizing blow up solutions to nonlinear Schrödinger equations
