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Teoreticheskaya i Matematicheskaya Fizika, 1987, Volume 70, Number 2, Pages 202–210 (Mi tmf4612)  
This article is cited in 5 scientific papers (total in 5 papers)

Periodic intermediate long wave equation: The undressing method

D. R. Lebedev, A. O. Radul
Full-text PDF (801 kB) Citations (5)
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Abstract: Periodic equation of two-layer liquid is studied by the method of dressing-down by means of formal Volterra operators. Infinite series of conservation laws is constructed by this method. Higher equations of two-layer liquid are written down in Hamiltonian form and it is shown that the conservation laws are preserved by higher equations. Involutiveness theorem is proved.
Received: 23.10.1985
English version:
Theoretical and Mathematical Physics, 1987, Volume 70, Issue 2, Pages 140–147
DOI: https://doi.org/10.1007/BF01039203
Bibliographic databases:
Language: Russian
Citation: D. R. Lebedev, A. O. Radul, “Periodic intermediate long wave equation: The undressing method”, TMF, 70:2 (1987), 202–210; Theoret. and Math. Phys., 70:2 (1987), 140–147
Citation in format AMSBIB
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\paper Periodic intermediate long wave equation: The undressing method
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\pages 202--210
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\transl
\jour Theoret. and Math. Phys.
\yr 1987
\vol 70
\issue 2
\pages 140--147
\crossref{https://doi.org/10.1007/BF01039203}
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  • https://www.mathnet.ru/eng/tmf/v70/i2/p202
    • This publication is cited in the following 5 articles:
    1. Bjorn K Berntson, Edwin Langmann, Jonatan Lenells, “On the non-chiral intermediate long wave equation: II. Periodic case”, Nonlinearity, 35:8 (2022), 4517  crossref
    2. Alexander Gorsky, Peter Koroteev, Olesya Koroteeva, Arkady Vainshtein, “On dimensional transmutation in 1 + 1D quantum hydrodynamics”, Journal of Mathematical Physics, 61:8 (2020)  crossref
    3. Zabrodin A., Zotov A., “Self-Dual Form of Ruijsenaars-Schneider Models and Ilw Equation With Discrete Laplacian”, Nucl. Phys. B, 927 (2018), 550–565  crossref  isi
    4. Peter Koroteev, Antonio Sciarappa, “On elliptic algebras and large-n supersymmetric gauge theories”, Journal of Mathematical Physics, 57:11 (2016)  crossref
    5. Giulio Bonelli, Antonio Sciarappa, Alessandro Tanzini, Petr Vasko, “Six-dimensional supersymmetric gauge theories, quantum cohomology of instanton moduli spaces and gl(N) Quantum Intermediate Long Wave Hydrodynamics”, J. High Energ. Phys., 2014:7 (2014)  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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    Full-text PDF :180
    References:100
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