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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 2, Pages 184–201
DOI: https://doi.org/10.4213/tmf389 (Mi tmf389) 		 
This article is cited in 23 scientific papers (total in 23 papers)

Initial-Boundary Value Problems for Linear and Soliton PDEs

A. Degasperisa, S. V. Manakovb, P. M. Santinia

a University of Rome "La Sapienza"
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (290 kB) Citations (23)
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DOI: https://doi.org/10.4213/tmf389
Abstract: We consider evolution PDEs for dispersive waves in both linear and nonlinear integrable cases and formulate the associated initial-boundary value problems in the spectral space. We propose a solution method based on eliminating the unknown boundary values by proper restrictions of the functional space and of the spectral variable complex domain. Illustrative examples include the linear Schrödinger equation on compact and semicompact n-dimensional domains and the nonlinear Schrödinger equation on the semiline.
Keywords: solitons, integrability, boundary conditions.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 2, Pages 1475–1489
DOI: https://doi.org/10.1023/A:1021138525261
Bibliographic databases:
Language: Russian
Citation: A. Degasperis, S. V. Manakov, P. M. Santini, “Initial-Boundary Value Problems for Linear and Soliton PDEs”, TMF, 133:2 (2002), 184–201; Theoret. and Math. Phys., 133:2 (2002), 1475–1489
Citation in format AMSBIB
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\by A.~Degasperis, S.~V.~Manakov, P.~M.~Santini
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\issue 2
\pages 184--201
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\crossref{https://doi.org/10.4213/tmf389}
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 2
\pages 1475--1489
\crossref{https://doi.org/10.1023/A:1021138525261}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000180061400005}
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  • https://doi.org/10.4213/tmf389
  • https://www.mathnet.ru/eng/tmf/v133/i2/p184
    • This publication is cited in the following 23 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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