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Russian Mathematical Surveys, 2001, Volume 56, Issue 1, Pages 61–101
DOI: https://doi.org/10.1070/rm2001v056n01ABEH000357 (Mi rm357) 		 
This article is cited in 154 scientific papers (total in 154 papers)

Exactly integrable hyperbolic equations of Liouville type

A. V. Zhibera, V. V. Sokolovb

a Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
b Landau Institute for Theoretical Physics, Centre for Non-linear Studies
English version PDF (352 kB) Citations (154)
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DOI: https://doi.org/10.1070/rm2001v056n01ABEH000357
Abstract: This is a survey of the authors' results concerning non-linear hyperbolic equations of Liouville type. The definition is based on the condition that the chain of Laplace invariants of the linearized equation be two-way finite. New results include a procedure for finding the general solution and a solution of the classification problem for Liouville type equations.
Received: 20.08.2000
Russian version:
Uspekhi Matematicheskikh Nauk, 2001, Volume 56, Issue 1(337), Pages 63–106
DOI: https://doi.org/10.4213/rm357
Bibliographic databases:
Document Type: Article
UDC: 517.957+514.85
MSC: Primary 35L70; Secondary 35A22, 35A30, 35L75, 35Q53, 37K10, 37K35, 37J15, 3
Language: English
Original paper language: Russian
Citation: A. V. Zhiber, V. V. Sokolov, “Exactly integrable hyperbolic equations of Liouville type”, Russian Math. Surveys, 56:1 (2001), 61–101
Citation in format AMSBIB
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\paper Exactly integrable hyperbolic equations of Liouville type
\jour Russian Math. Surveys
\yr 2001
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\pages 61--101
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    • This publication is cited in the following 154 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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