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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 159, Number 3, Pages 438–447
DOI: https://doi.org/10.4213/tmf6363 (Mi tmf6363) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multicomponent nonlinear schrödinger equations with constant boundary conditions

V. S. Gerdjikov, N. A. Kostov, T. I. Valchev

Institute for Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences
Full-text PDF (424 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf6363
Abstract: We outline several specific issues concerning the theory of multicomponent nonlinear Schrödinger equations with constant boundary conditions. We first study the spectral properties of the Lax operator L, the structure of the phase space M, and the construction of the fundamental analytic solutions. We then consider the regularized Wronskian relations, which allow analyzing the map between the potential of L and the scattering data. The Hamiltonian formulation also requires a regularization procedure.
Keywords: multicomponent nonlinear Schrödinger equation, constant boundary condition, fundamental analytic solution.
English version:
Theoretical and Mathematical Physics, 2009, Volume 159, Issue 3, Pages 787–795
DOI: https://doi.org/10.1007/s11232-009-0067-6
Bibliographic databases:
Language: Russian
Citation: V. S. Gerdjikov, N. A. Kostov, T. I. Valchev, “Multicomponent nonlinear schrödinger equations with constant boundary conditions”, TMF, 159:3 (2009), 438–447; Theoret. and Math. Phys., 159:3 (2009), 787–795
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6363
  • https://doi.org/10.4213/tmf6363
  • https://www.mathnet.ru/eng/tmf/v159/i3/p438
    • This publication is cited in the following 3 articles:
    1. R. K. Salimov, T. R. Salimov, E. G. Ekomasov, “On the nonlinear two- and three-dimensional Klein–Gordon equations allowing localized solutions with beatings of coupled oscillators”, JETP Letters, 119:10 (2024), 807–811  mathnet  crossref  crossref
    2. V. S. Gerdjikov, THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living, 2968, THE 5TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE IN INFORMATION SYSTEMS (CIIS 2022): Intelligent and Resilient Digital Innovations for Sustainable Living, 2023, 020001  crossref
    3. O. O. Pokutnyi, “Boundary-Value Problems for the Evolutionary Schrödinger Equation. I”, J Math Sci, 249:4 (2020), 647  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:82
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