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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 $\mathcal M$, 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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\paper Multicomponent nonlinear schr\"odinger equations with constant
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  • https://doi.org/10.4213/tmf6363
  • https://www.mathnet.ru/eng/tmf/v159/i3/p438
    • This publication is cited in the following 3 articles:
    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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