Elementary excitations for solitons of the nonlinear Schrödinger equation

DOI10.1016/0167-2789(91)90161-2zbMath0753.35096OpenAlexW1966523987MaRDI QIDQ1181356

V. M. Malkin, E. G. Shapiro

Publication date: 27 June 1992

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90161-2

zbMATH Keywords

solitonexcitation spectrumtwo-dimensional Schrödinger equationattracting cubic nonlinearity

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51)

Related Items

On the analytical theory for stationary self-focusing of radiation ⋮ The cross-over from Townes solitons to droplets in a 2D Bose mixture ⋮ Internal modes of envelope solitons ⋮ Internal oscillations of solitons in two-dimensional NLS equation with nonlocal nonlinearity

Cites Work

• Nonlinear Schrödinger equations and sharp interpolation estimates
• On the analytical theory for stationary self-focusing of radiation
• Evolution theorem for a class of perturbed envelope soliton solutions