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

DOI10.1088/0305-4470/38/11/006zbMath1065.81139OpenAlexW2010862422MaRDI QIDQ4673016

Shengmei Ao, Jia Ren Yan

Publication date: 29 April 2005

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

Full work available at URL: https://doi.org/10.1088/0305-4470/38/11/006

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Strong interaction, including quantum chromodynamics (81V05) Quantum optics (81V80) Soliton equations (35Q51) Perturbation theories for operators and differential equations in quantum theory (81Q15) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (4)

Quasi-integrability in the modified defocusing non-linear Schrödinger model and dark solitons ⋮ Gauge equivalent structure and solitary wave solution for a modified Landau-Lifshitz equation ⋮ An instability criterion for nonlinear standing waves on nonzero backgrounds ⋮ Perturbations of dark solitons

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