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Teoreticheskaya i Matematicheskaya Fizika, 2004, Volume 140, Number 2, Pages 216–229
DOI: https://doi.org/10.4213/tmf91 (Mi tmf91) 		 
This article is cited in 85 scientific papers (total in 85 papers)

Hydrodynamic Reductions and Solutions of a Universal Hierarchy

L. Martínez Alonsoa, A. B. Shabatb

a Universidad Complutense, Departamento de Fisica Teorica II
b L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (258 kB) Citations (85)
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DOI: https://doi.org/10.4213/tmf91
Abstract: We investigate the diagonal hydrodynamic reductions of a hierarchy of integrable hydrodynamic chains and analyze their compatibility with previously introduced reductions of differential type.
Keywords: hydrodynamic systems, differential reductions, hodograph solutions.
Received: 17.09.2003
English version:
Theoretical and Mathematical Physics, 2004, Volume 140, Issue 2, Pages 1073–1085
DOI: https://doi.org/10.1023/B:TAMP.0000036538.41884.57
Bibliographic databases:
Language: Russian
Citation: L. Martínez Alonso, A. B. Shabat, “Hydrodynamic Reductions and Solutions of a Universal Hierarchy”, TMF, 140:2 (2004), 216–229; Theoret. and Math. Phys., 140:2 (2004), 1073–1085
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://www.mathnet.ru/eng/tmf/v140/i2/p216
    • This publication is cited in the following 85 articles:
    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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