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Teoreticheskaya i Matematicheskaya Fizika, 2002, Volume 133, Number 2, Pages 247–258
DOI: https://doi.org/10.4213/tmf394 (Mi tmf394) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy

B. G. Konopelchenkoa, L. Martínez Alonsob, E. Medinac

a Lecce University
b Universidad Complutense, Departamento de Fisica Teorica II
c Universidad de Cadiz
Full-text PDF (262 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf394
Abstract: A $\bar {\partial }$ formalism for studying dispersionless integrable hierarchies is applied to the dispersionless KP (dKP) hierarchy. We relate this formalism to the theory of quasiconformal mappings on the plane and present some classes of explicit solutions of the dKP hierarchy.
Keywords: dispersionless hierarchies, quasiconformal mappings, $\bar {\partial }$ equations.
English version:
Theoretical and Mathematical Physics, 2002, Volume 133, Issue 2, Pages 1529–1538
DOI: https://doi.org/10.1023/A:1021198811148
Bibliographic databases:
Language: Russian
Citation: B. G. Konopelchenko, L. Martínez Alonso, E. Medina, “Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy”, TMF, 133:2 (2002), 247–258; Theoret. and Math. Phys., 133:2 (2002), 1529–1538
Citation in format AMSBIB
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\by B.~G.~Konopelchenko, L.~Mart{\'\i}nez Alonso, E.~Medina
\paper Quasiconformal Mappings and Solutions of the Dispersionless KP Hierarchy
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\pages 247--258
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\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 133
\issue 2
\pages 1529--1538
\crossref{https://doi.org/10.1023/A:1021198811148}
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  • https://www.mathnet.ru/eng/tmf/v133/i2/p247
    • This publication is cited in the following 10 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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    Full-text PDF :200
    References:62
    First page:2
     
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