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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 144, Number 1, Pages 94–101
DOI: https://doi.org/10.4213/tmf1835 (Mi tmf1835) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Integrable Deformations of Algebraic Curves

Y. Kodamaa, B. G. Konopelchenkob, L. Martínez Alonsoc

a Ohio State University
b Lecce University
c Universidad Complutense, Departamento de Fisica Teorica II
Full-text PDF (227 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf1835
Abstract: We present a general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations. We emphasize the use of several types of dynamical variables: branches, power sums, and potentials.
Keywords: algebraic curves, integrable systems, Lenard relations.
English version:
Theoretical and Mathematical Physics, 2005, Volume 144, Issue 1, Pages 961–967
DOI: https://doi.org/10.1007/s11232-005-0123-9
Bibliographic databases:
Language: Russian
Citation: Y. Kodama, B. G. Konopelchenko, L. Martínez Alonso, “Integrable Deformations of Algebraic Curves”, TMF, 144:1 (2005), 94–101; Theoret. and Math. Phys., 144:1 (2005), 961–967
Citation in format AMSBIB
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\paper Integrable Deformations of Algebraic Curves
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\pages 94--101
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\transl
\jour Theoret. and Math. Phys.
\yr 2005
\vol 144
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\pages 961--967
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Linking options:
  • https://www.mathnet.ru/eng/tmf1835
  • https://doi.org/10.4213/tmf1835
  • https://www.mathnet.ru/eng/tmf/v144/i1/p94
    • This publication is cited in the following 4 articles:
    1. Takasaki K., “Differential Fay Identities and Auxiliary Linear Problem of Integrable Hierarchies”, Exploring New Structures and Natural Constructions in Mathematical Physics, Advanced Studies in Pure Mathematics, 61, ed. Hasegawa K. Hayashi T. Hosono S. Yamada Y., Math Soc Japan, 2011, 387–441  crossref  mathscinet  zmath  isi
    2. Kanehisa Takasaki, “Auxiliary Linear Problem, Difference Fay Identities and Dispersionless Limit of Pfaff–Toda Hierarchy”, SIGMA, 5 (2009), 109, 34 pp.  mathnet  crossref  zmath
    3. B. G. Konopelchenko, L. Martínez Alonso, E. Medina, “Integrable semiclassical deformations of general algebraic curves and associated conservation laws”, Theoret. and Math. Phys., 151:3 (2007), 820–830  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. Konopelchenko B, Alonso LM, Medina E, “A classification of integrable quasiclassical deformations of algebraic curves”, Journal of Physics A-Mathematical and General, 39:36 (2006), 11231–11246  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    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 :231
    References:87
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