I. T. Habibullin, “C-Series Discrete Chains”, TMF, 146:2 (2006), 208–221; Theoret. and Math. Phys., 146:2 (2006), 170

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Teoreticheskaya i Matematicheskaya Fizika, 2006, Volume 146, Number 2, Pages 208–221
DOI: https://doi.org/10.4213/tmf2032 (Mi tmf2032)

This article is cited in 8 scientific papers (total in 8 papers)

C-Series Discrete Chains

I. T. Habibullin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences

Full-text PDF (172 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf2032

Abstract: We find analogues of the generalized two-dimensional Toda chains of the

C_{N}

$C_N$ and

{\tilde{C}}_{N}

$\widetilde C_N$ series with three discrete independent variables and give Lax pairs for these chains.

Keywords: discrete Toda chains, integrable boundary conditions, discrete hyperbolic equations, Laplace invariants, Lax pair, simple Lie algebras.

Received: 02.04.2005

English version:
Theoretical and Mathematical Physics, 2006, Volume 146, Issue 2, Pages 170–182
DOI: https://doi.org/10.1007/s11232-006-0017-5

Bibliographic databases:

Language: Russian

Citation: I. T. Habibullin, “C-Series Discrete Chains”, TMF, 146:2 (2006), 208–221; Theoret. and Math. Phys., 146:2 (2006), 170–182

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf2032

https://doi.org/10.4213/tmf2032

https://www.mathnet.ru/eng/tmf/v146/i2/p208

This publication is cited in the following 8 articles:

Sergey V Smirnov, “Integral preserving discretization of 2D Toda lattices”, J. Phys. A: Math. Theor., 56:26 (2023), 265204
D. V. Millionshchikov, S. V. Smirnov, “Characteristic algebras and integrable exponential systems”, Ufa Math. J., 13:2 (2021), 41–69
Habibullin I.T., Khakimova A.R., Poptsova M.N., “On a method for constructing the Lax pairs for nonlinear integrable equations”, J. Phys. A-Math. Theor., 49:3 (2016), 035202
S. V. Smirnov, “Darboux integrability of discrete two-dimensional Toda lattices”, Theoret. and Math. Phys., 182:2 (2015), 189–210
Rustem Garifullin, Ismagil Habibullin, Marina Yangubaeva, “Affine and finite Lie algebras and integrable Toda field equations on discrete space-time”, SIGMA, 8 (2012), 062, 33 pp.
Habibullin I., Zheltukhin K., Yangubaeva M., “Cartan matrices and integrable lattice Toda field equations”, J. Phys. A: Math. Theor., 44:46 (2011), 465202
Habibullin I., Zheltukhina N., Sakieva A., “Discretization of hyperbolic type Darboux integrable equations preserving integrability”, J Math Phys, 52:9 (2011), 093507
V. L. Vereshchagin, “Darboux-integrable discrete systems”, Theoret. and Math. Phys., 156:2 (2008), 1142–1153

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	268
References:	69
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