The soliton perturbation theory based on the Riemann-Hilbert spectral problem.

DOI10.1016/0960-0779(95)00004-NzbMath1080.35525OpenAlexW1982154497MaRDI QIDQ812251

Valery S. Shchesnovich

Publication date: 16 February 2006

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0960-0779(95)00004-n

Mathematics Subject Classification ID

Related Items (2)

Perturbation theory for nearly integrable multicomponent nonlinear PDEs ⋮ Soliton perturbation theory for the modified nonlinear Schrödinger equation

Cites Work

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• Perturbation theory based on the Riemann problem for the Landau-Lifshitz equation
• On higher-order corrections in soliton perturbation theory
• On the structure of equations integrable by the arbitrary-order linear spectral problem
• The polynomial spectral problem of arbitrary order: a general form of the integrable equations and Backlund transformations
• On the structure of nonlinear evolution equations integrable by the Z₂-graded quadratic bundle
• Soliton Evolution in the Presence of Perturbation
• ASYMPTOTIC EVALUATION OF BOSONIC PROBABILITY AMPLITUDES IN LINEAR UNITARY NETWORKS IN THE CASE OF LARGE NUMBER OF BOSONS

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