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Bi-Hamiltonian dynamical systems related to low-dimensional lie algebras

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  • BŁaszak, M.
  • Wojciechowski, S.

Abstract

A method of generation of bi-Hamiltonian systems based on the use of low-dimensional Lie algebras is presented. New, nontrivial 3,4 and 5-dimensional bi-Hamiltonian systems are found.

Suggested Citation

  • BŁaszak, M. & Wojciechowski, S., 1989. "Bi-Hamiltonian dynamical systems related to low-dimensional lie algebras," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 155(3), pages 545-564.
    • Handle: RePEc:eee:phsmap:v:155:y:1989:i:3:p:545-564
    DOI: 10.1016/0378-4371(89)90005-8
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    Cited by:

    1. Błaszak, Maciej, 1993. "On a non-standard algebraic description of integrable nonlinear systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 198(3), pages 637-654.

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