“Coloured” solitons in a stable medium

The repulsive nonlinear Schrödinger equation is integrated by the inverse scattering method. The unitarity of the infinite-dimensional representations for the linear problem is provided due to nonvanishing boundary conditions on fields. A single-soliton solution is found explicitly and its stability...

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Bibliographic Details
Published in:Physics letters. A 1983-01, Vol.98 (5), p.227-232
Main Authors: Makhankov, V.G., Pashaev, O.K., Sergeenkov, S.A.
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Exact sciences and technology
Physics
Quantum mechanics
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Summary:The repulsive nonlinear Schrödinger equation is integrated by the inverse scattering method. The unitarity of the infinite-dimensional representations for the linear problem is provided due to nonvanishing boundary conditions on fields. A single-soliton solution is found explicitly and its stability under small perturbations of a continuous spectrum is shown as well.
ISSN:0375-9601
1873-2429
DOI:10.1016/0375-9601(83)90858-7