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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 2, Pages 179–195
DOI: https://doi.org/10.4213/tmf6463 (Mi tmf6463) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Symmetry algebras of Lagrangian Liouville-type systems

A. V. Kiselev, J. W. van de Leur

Mathematical Institute, University of Utrecht, Utrecht, The Netherlands
Full-text PDF (647 kB) Citations (9)
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DOI: https://doi.org/10.4213/tmf6463
Abstract: We calculate the generators and commutation relations explicitly for higher symmetry algebras of a class of hyperbolic Lagrangian systems of Liouville type, in particular, for two-dimensional Toda chains associated with semisimple complex Lie algebras.
Keywords: symmetry, two-dimensional Toda chain, Liouville-type system, Hamiltonian hierarchy, bracket.
Received: 26.02.2009
Revised: 18.05.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 2, Pages 149–162
DOI: https://doi.org/10.1007/s11232-010-0011-9
Bibliographic databases:
Language: Russian
Citation: A. V. Kiselev, J. W. van de Leur, “Symmetry algebras of Lagrangian Liouville-type systems”, TMF, 162:2 (2010), 179–195; Theoret. and Math. Phys., 162:2 (2010), 149–162
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6463
  • https://doi.org/10.4213/tmf6463
  • https://www.mathnet.ru/eng/tmf/v162/i2/p179
    • This publication is cited in the following 9 articles:
    1. Arzu Akbulut, Melike Kaplan, Mohammed K.A. Kaabar, “New conservation laws and exact solutions of the special case of the fifth-order KdV equation”, Journal of Ocean Engineering and Science, 7:4 (2022), 377  crossref
    2. Maria N. Kuznetsova, “Lax Pair for a Novel Two-Dimensional Lattice”, SIGMA, 17 (2021), 088, 13 pp.  mathnet  crossref
    3. Carpentier S. Mikhailov A.V. Wang J.P., “Rational Recursion Operators For Integrable Differential-Difference Equations”, Commun. Math. Phys., 370:3 (2019), 807–851  crossref  mathscinet  isi
    4. Sergey Ya. Startsev, “Formal Integrals and Noether Operators of Nonlinear Hyperbolic Partial Differential Systems Admitting a Rich Set of Symmetries”, SIGMA, 13 (2017), 034, 20 pp.  mathnet  crossref
    5. Kiselev A.V. Krutov A.O., “Non-Abelian Lie Algebroids Over Jet Spaces”, J. Nonlinear Math. Phys., 21:2 (2014), 188–213  crossref  mathscinet  isi  scopus
    6. Kiselev A.V., “Homological evolutionary vector fields in Korteweg–de Vries, Liouville, Maxwell, and several other models”, 7th International Conference on Quantum Theory and Symmetries (QTS7), J. Phys.: Conf. Ser., 343, 2012, 012058  crossref  adsnasa  isi  scopus
    7. A. V. Kiselev, J. W. van de Leur, “Variational Lie algebroids and homological evolutionary vector fields”, Theoret. and Math. Phys., 167:3 (2011), 772–784  mathnet  crossref  crossref  adsnasa  isi
    8. Hussin V., Kiselev A.V., “A convenient criterion under which Z2-graded operators are Hamiltonian”, Physical and Mathematical Aspects of Symmetry: Proceedings of the 28th International Colloquium on Group-Theoretical Methods in Physics, J. Phys.: Conf. Ser., 284, 2011, 012035  crossref  adsnasa  isi  scopus
    9. Kiselev A.V., van de Leur J.W., “A family of second Lie algebra structures for symmetries of a dispersionless Boussinesq system”, Journal of Physics A-Mathematical and Theoretical, 42:40 (2009), 404011  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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