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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 134, Number 1, Pages 46–54
DOI: https://doi.org/10.4213/tmf139 (Mi tmf139) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies

L. V. Bogdanova, B. G. Konopelchenkob, L. Martínez Alonsoc

a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Lecce University
c Universidad Complutense, Departamento de Fisica Teorica II
Full-text PDF (219 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf139
Abstract: We use the semiclassical $\bar\partial$-dressing method to derive compact generating equations for dispersionless hierarchies. The considered illustrative examples are the dispersionless Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies.
Keywords: semiclassical limit, $\bar\partial$-method, $\tau$-function.
English version:
Theoretical and Mathematical Physics, 2003, Volume 134, Issue 1, Pages 39–46
DOI: https://doi.org/10.1023/A:1021863522034
Bibliographic databases:
Language: Russian
Citation: L. V. Bogdanov, B. G. Konopelchenko, L. Martínez Alonso, “Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies”, TMF, 134:1 (2003), 46–54; Theoret. and Math. Phys., 134:1 (2003), 39–46
Citation in format AMSBIB
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\paper Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies
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\jour Theoret. and Math. Phys.
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  • https://doi.org/10.4213/tmf139
  • https://www.mathnet.ru/eng/tmf/v134/i1/p46
    • This publication is cited in the following 13 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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