Nonexistence of Supersonic Traveling Waves for Nonlinear Schrödinger Equations with Nonzero Conditions at Infinity

DOI10.1137/070711189zbMath1167.35518OpenAlexW2081428778MaRDI QIDQ3630356

Mihai Mariş

Publication date: 28 May 2009

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/90f68c1171303bbd2def301fe90d29a0c15c80d2

zbMATH Keywords

nonlinear Schrödinger equationtraveling wavecubic-quintic nonlinear Schrödinger equationnonzero conditions at infinityintegral identitiesGross-Pitaevskii equations and systems

Mathematics Subject Classification ID

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Invariant manifolds of traveling waves of the 3D Gross-Pitaevskii equation in the energy space ⋮ Stability of traveling waves of nonlinear Schrödinger equation with nonzero condition at infinity ⋮ A special class of nonlinear hypoelliptic equations on spheres ⋮ Logarithmic Gross-Pitaevskii equation ⋮ A Degenerate Isoperimetric Problem and Traveling Waves to a Bistable Hamiltonian System ⋮ Rarefaction pulses for the nonlinear Schrödinger equation in the transonic limit ⋮ Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity ⋮ Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity ⋮ Hamiltonian Dynamics of a Particle Interacting with a Wave Field ⋮ Traveling waves for some nonlocal 1D Gross-Pitaevskii equations with nonzero conditions at infinity ⋮ Travelling waves for the nonlinear Schrödinger equation with general nonlinearity in dimension two ⋮ Instability, index theorem, and exponential trichotomy for Linear Hamiltonian PDEs ⋮ Finite energy traveling waves for the Gross-Pitaevskii equation in the subsonic regime

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