Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2020.105220zbMath1452.35185arXiv2002.01812OpenAlexW3005344180MaRDI QIDQ2204493

E. M. Gromov, Boris A. Malomed

Publication date: 15 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.01812

zbMATH Keywords

solitonexternal potentialextended nonlinear Schrödinger equationspatial stimulated Raman scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Cites Work

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• The hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations
• Davydov soliton evolution in temperature gradients driven by hyperbolic waves
• Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion
• The modulational instability in deep water under the action of wind and dissipation
• Some properties of deep water solitons

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