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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 35–43
DOI: https://doi.org/10.4213/tmf1829 (Mi tmf1829) 		 
This article is cited in 18 scientific papers (total in 18 papers)

Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies

E. V. Ferapontovab, K. R. Khusnutdinovabc, M. V. Pavlovb

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Loughborough University
c Institute of Mechanics, Ufa Centre of the Russian Academy of Sciences
Full-text PDF (216 kB) Citations (18)
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DOI: https://doi.org/10.4213/tmf1829
Abstract: We investigate the $(2+1)$-dimensional hierarchies associated with the integrable PDEs of the form $\Omega_{tt}=F(\Omega_{xx},\Omega_{xt},\Omega_{xy})$, which generalize the dispersionless KP hierarchy. Integrability is understood as the existence of infinitely many hydrodynamic reductions.
Keywords: integrable hierachies of dKP type, hydrodynamic reductions, pseudopotentials.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 907–915
DOI: https://doi.org/10.1007/s11232-005-0117-7
Bibliographic databases:
Language: Russian
Citation: E. V. Ferapontov, K. R. Khusnutdinova, M. V. Pavlov, “Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies”, TMF, 144:1 (2005), 35–43; Theoret. and Math. Phys., 144:1 (2005), 907–915
Citation in format AMSBIB
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\paper Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies
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    • This publication is cited in the following 18 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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