A direct perturbation theory for dark solitons based on a complete set of the squared Jost solutions

DOI10.1088/0305-4470/31/33/005zbMath0929.35143OpenAlexW2051865054MaRDI QIDQ4259229

Nian-Ning Huang, Zhide Chen, Xiang-Jun Chen

Publication date: 25 January 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/31/33/005

zbMATH Keywords

nonlinear Schrödinger equationdirect perturbation approach for dark solitionsproblem of damping

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbation theories for operators and differential equations in quantum theory (81Q15)

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Quasi-integrability in the modified defocusing non-linear Schrödinger model and dark solitons ⋮ Perturbation theory for isotropic Landau-Lifschitz equation based on inverse scattering trans\-formation ⋮ An instability criterion for nonlinear standing waves on nonzero backgrounds ⋮ A direct theory for the perturbed unstable nonlinear Schrödinger equation ⋮ Evolution of Higher‐Order Gray Hirota Solitary Waves ⋮ Soliton-phonon scattering problem in 1D nonlinear Schrödinger systems with general nonlinearity ⋮ Direct approach of perturbation theory for kink solitons ⋮ Complete and orthonormal eigenfunctions of excitations to a one-dimensional dark soliton ⋮ A simple treatment of the sine-Gordon equation ⋮ Perturbations of dark solitons ⋮ Dark multi-soliton solution of the nonlinear Schrödinger equation with non-vanishing boundary

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