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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 1, Pages 35–48
DOI: https://doi.org/10.4213/tmf6376 (Mi tmf6376) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Gauge-invariant description of several $(2+1)$-dimensional integrable nonlinear evolution equations

V. G. Dubrovskii, A. V. Gramolin

Novosibirsk State Technical University
Full-text PDF (407 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6376
Abstract: We obtain new gauge-invariant forms of two-dimensional integrable systems of nonlinear equations: the Sawada–Kotera and Kaup–Kuperschmidt system, the generalized system of dispersive long waves, and the Nizhnik–Veselov–Novikov system. We show how these forms imply both new and well-known two-dimensional integrable nonlinear equations: the Sawada–Kotera equation, Kaup–Kuperschmidt equation, dispersive long-wave system, Nizhnik–Veselov–Novikov equation, and modified Nizhnik–Veselov–Novikov equation. We consider Miura-type transformations between nonlinear equations in different gauges.
Keywords: Sawada–Kotera equation, Kaup–Kuperschmidt equation, generalized dispersive long-wave equation, Davey–Stewartson equation, Nizhnik–Veselov–Novikov equation.
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 1, Pages 905–916
DOI: https://doi.org/10.1007/s11232-009-0080-9
Bibliographic databases:
Language: Russian
Citation: V. G. Dubrovskii, A. V. Gramolin, “Gauge-invariant description of several $(2+1)$-dimensional integrable nonlinear evolution equations”, TMF, 160:1 (2009), 35–48; Theoret. and Math. Phys., 160:1 (2009), 905–916
Citation in format AMSBIB
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\paper Gauge-invariant description of several $(2+1)$-dimensional integrable nonlinear evolution equations
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\transl
\jour Theoret. and Math. Phys.
\yr 2009
\vol 160
\issue 1
\pages 905--916
\crossref{https://doi.org/10.1007/s11232-009-0080-9}
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  • https://www.mathnet.ru/eng/tmf/v160/i1/p35
    • This publication is cited in the following 5 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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