M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, TMF, 150:2 (2007), 263–285; Theoret. and Math. Phys., 150:2 (2007), 225

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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 263–285
DOI: https://doi.org/10.4213/tmf5978 (Mi tmf5978)

This article is cited in 10 scientific papers (total in 10 papers)

Integrability of the Egorov systems of hydrodynamic type

M. V. Pavlov

P. N. Lebedev Physical Institute, Russian Academy of Sciences

Full-text PDF (538 kB) Citations (10)

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DOI: https://doi.org/10.4213/tmf5978

Abstract: We present integrability criterion for the Egorov systems of hydrodynamic type. We find the general solution by the generalized hodograph method and give examples. We discuss a description of triorthogonal curvilinear coordinate systems from the standpoint of reciprocal transformations.

Keywords: Hamiltonian structure, reciprocal transformation, Egorov metric, system of hydrodynamic type, Riemann invariant, extended hodograph method, generalized hodograph method.

Received: 01.05.2006

English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 225–243
DOI: https://doi.org/10.1007/s11232-007-0017-0

Bibliographic databases:

Language: Russian

Citation: M. V. Pavlov, “Integrability of the Egorov systems of hydrodynamic type”, TMF, 150:2 (2007), 263–285; Theoret. and Math. Phys., 150:2 (2007), 225–243

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https://doi.org/10.4213/tmf5978

https://www.mathnet.ru/eng/tmf/v150/i2/p263

This publication is cited in the following 10 articles:

Maxim V. Pavlov, “Integrability of exceptional hydrodynamic-type systems”, Proc. Steklov Inst. Math., 302 (2018), 325–335
Prykarpatski A.K., “On the Solutions to the Witten-Dijkgraaf-Verlinde-Verlinde Associativity Equations and Their Algebraic Properties”, J. Geom. Phys., 134 (2018), 77–83
Cirilo-Lombardo D.J., “Integrable Hydrodynamic Equations For Initial Chiral Currents and Infinite Hydrodynamic Chains From WZNW Model and String Model of WZNW Type With Su(2), So(3), Sp(2), Su(Infinity), So(Infinity), Sp(Infinity) Constant Torsions”, Int. J. Mod. Phys. A, 29:24 (2014), 1450134
I. A. Taimanov, “Singular spectral curves in finite-gap integration”, Russian Math. Surveys, 66:1 (2011), 107–144
Handbook of Nonlinear Partial Differential Equations, Second Edition, 2011, 1795
V. Rosenhaus, “Infinite conservation laws for differential systems”, Theoret. and Math. Phys., 160:1 (2009), 1042–1049
Yu-Tung Chen, Niann-Chern Lee, Ming-Hsien Tu, “The WDVV symmetries in two-primary models”, Theoret. and Math. Phys., 161:3 (2009), 1634–1646
Sergyeyev A., “Infinite hierarchies of nonlocal symmetries of the Chen-Kontsevich-Schwarz type for the oriented associativity equations”, J. Phys. A, 42:40 (2009), 404017, 15 pp.
M. V. Neschadim, “Kasatelnye preobrazovaniya uravneniya Keli–Darbu”, Vestn. NGU. Ser. matem., mekh., inform., 9:1 (2009), 39–44
Victor D. Gershun, “Integrable String Models in Terms of Chiral Invariants of $\mathrm{SU}(n)$ , $\mathrm{SO}(n)$ , $\mathrm{SP}(n)$ Groups”, SIGMA, 4 (2008), 041, 16 pp.

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

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