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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 215, Number 1, Pages 3–15
DOI: https://doi.org/10.4213/tmf10424 (Mi tmf10424) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On solutions of matrix soliton equations

M. A. Shumkinab

a Lomonosov Moscow State University, Moscow, Russia
b Bauman Moscow State Technical University, Moscow, Russia
Full-text PDF (435 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10424
Abstract: We show that all local holomorphic solutions of matrix soliton equations of parabolic type admit an analytic continuation to globally meromorphic functions of a spatial variable. As examples, we consider the matrix Korteweg–de Vries equation and the matrix modified Korteweg–de Vries equation, as well as various versions of the matrix nonlinear Schrödinger equation.
Keywords: soliton equations, analytic continuation, holomorphic solution.
Received: 14.12.2022
Revised: 14.12.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 215, Issue 1, Pages 457–467
DOI: https://doi.org/10.1134/S0040577923040013
Bibliographic databases:
Document Type: Article
MSC: 30B40, 32D15, 35A10, 35Q51, 37K10
Language: Russian
Citation: M. A. Shumkin, “On solutions of matrix soliton equations”, TMF, 215:1 (2023), 3–15; Theoret. and Math. Phys., 215:1 (2023), 457–467
Citation in format AMSBIB
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\paper On solutions of matrix soliton equations
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:36
    First page:13
     
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