Instability of vortex solitons for 2D focusing NLS

zbMath1158.35089arXivmath/0605032MaRDI QIDQ944168

Tetsu Mizumachi

Publication date: 12 September 2008

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0605032

zbMATH Keywords

Sobolev spacenonlinear Schrödinger equationpolar coordinatesstanding wave

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (14)

On small traveling waves to the mass critical fractional NLS ⋮ Stability of nonlinear waves and patterns and related topics ⋮ On the vortices for the nonlinear Schrödinger equation in higher dimensions ⋮ The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition ⋮ Nonlinear instability of linearly unstable standing waves for nonlinear Schrödinger equations ⋮ Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time ⋮ On orbital instability of spectrally stable vortices of the NLS in the plane ⋮ A remark on linearly unstable standing wave solutions to NLS ⋮ High-speed excited multi-solitons in nonlinear Schrödinger equations ⋮ Theory of singular vortex solutions of the nonlinear Schrödinger equation ⋮ On instability of excited states of the nonlinear Schrödinger equation ⋮ Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter ⋮ Stabilization of small solutions of discrete NLS with potential having two eigenvalues ⋮ Multi-dimensional compactons and compact vortices

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