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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 173, Number 3, Pages 363–374
DOI: https://doi.org/10.4213/tmf8350 (Mi tmf8350) 		 
This article is cited in 20 scientific papers (total in 20 papers)

An integrable multicomponent quad-equation and its Lagrangian formulation

J. Atkinsona, S. B. Lobbb, F. W. Nijhoffc

a University of Sydney, Sydney, Australia
b La Trobe University, Melbourne, Australia
c University of Leeds, Leeds, UK
Full-text PDF (440 kB) Citations (20)
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DOI: https://doi.org/10.4213/tmf8350
Abstract: We present a hierarchy of discrete systems whose first members are the lattice modified Korteweg–de Vries equation and the lattice modified Boussinesq equation. The $N$th member in the hierarchy is an $N$-component system defined on an elementary plaquette in the two-dimensional lattice. The system is multidimensionally consistent, and we obtain a Lagrangian that respects this feature, i.e., has the desirable closure property.
Keywords: integrable system, discrete equation, reduction, Lagrange formulation, variational principle.
Received: 25.04.2012
English version:
Theoretical and Mathematical Physics, 2012, Volume 173, Issue 3, Pages 1644–1653
DOI: https://doi.org/10.1007/s11232-012-0138-y
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: J. Atkinson, S. B. Lobb, F. W. Nijhoff, “An integrable multicomponent quad-equation and its Lagrangian formulation”, TMF, 173:3 (2012), 363–374; Theoret. and Math. Phys., 173:3 (2012), 1644–1653
Citation in format AMSBIB
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    • This publication is cited in the following 20 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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