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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 220, Number 1, Pages 191–209
DOI: https://doi.org/10.4213/tmf10651 (Mi tmf10651) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Finite-gap solutions of the real modified Korteweg–de Vries equation

A. O. Smirnov, I. V. Anisimov

Saint-Petersburg State University of Aerospace Instrumentation, St. Petersburg, Russia
Full-text PDF (459 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf10651
Abstract: We consider methods for constructing finite-gap solutions of the real classical modified Korteweg–de Vries equation and elliptic finite-gap potentials of the Dirac operator. The Miura transformation is used in both methods to relate solutions of the Korteweg–de Vries and modified Korteweg–de Vries equations. We present examples.
Keywords: KdV equation, mKdV equation, Miura transformation, spectral curve, finite-gap solution.
Funding agency Grant number
Russian Science Foundation 22-11-00196
This work was supported by the Russian Science Foundation under grant No. 22-11-00196, https://rscf.ru/en/project/22-11-00196/.
Received: 05.12.2023
Revised: 05.12.2023
Published: 30.06.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 220, Issue 1, Pages 1224–1240
DOI: https://doi.org/10.1134/S0040577924070122
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. O. Smirnov, I. V. Anisimov, “Finite-gap solutions of the real modified Korteweg–de Vries equation”, TMF, 220:1 (2024), 191–209; Theoret. and Math. Phys., 220:1 (2024), 1224–1240
Citation in format AMSBIB
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\paper Finite-gap solutions of the~real modified Korteweg--de~Vries equation
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\pages 191--209
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\jour Theoret. and Math. Phys.
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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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