$N$-soliton solutions and perturbation theory for the derivative nonlinear Scrödinger equation with nonvanishing boundary conditions

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dc.creatorLashkin, V. M.
dc.date2007-01-19
dc.date.accessioned2026-07-07T07:41:58Z
dc.date.available2026-07-07T07:41:58Z
dc.descriptionWe present a simple approach for finding $N$-soliton solution and the corresponding Jost solutions of the derivative nonlinear Scrödinger equation with nonvanishing boundary conditions. Soliton perturbation theory based on the inverse scattering transform method is developed. As an application of the present theory we consider the action of the diffusive-type perturbation on a single bright/dark soliton.
dc.description16 pages, 2 figures, submitted to J. Phys. A
dc.identifierhttps://arxiv.org/abs/nlin/0701039
dc.identifierhttp://arxiv.org/abs/nlin/0701039
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122314
dc.subjectPattern Formation and Solitons
dc.subjectExactly Solvable and Integrable Systems
dc.title$N$-soliton solutions and perturbation theory for the derivative nonlinear Scrödinger equation with nonvanishing boundary conditions
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