Internal oscillations of solitons in two-dimensional NLS equation with nonlocal nonlinearity

DOI10.1016/S0375-9601(01)00835-0zbMath0984.35149OpenAlexW2018721675WikidataQ60197885 ScholiaQ60197885MaRDI QIDQ5953299

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Publication date: 22 January 2002

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(01)00835-0

zbMATH Keywords

asymptotic theorysmall eigenfrequencies

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

The cross-over from Townes solitons to droplets in a 2D Bose mixture ⋮ On the bright soliton in the Bose-Einstein condensate (to the third order in the interaction radius) ⋮ FIRST PRINCIPLES DERIVATION OF NLS EQUATION FOR BEC WITH CUBIC AND QUINTIC NONLINEARITIES AT NONZERO TEMPERATURE: DISPERSION OF LINEAR WAVES ⋮ Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose–Einstein condensate

Cites Work

• Elementary excitations for solitons of the nonlinear Schrödinger equation
• Internal modes of envelope solitons
• Stability of multi-parameter solitons: Asymptotic approach

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