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On a non-standard algebraic description of integrable nonlinear systems

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  • Błaszak, Maciej

Abstract

We present a non-standard algebraic description of some classical integrable systems in 1 + 1 dimensions resulting from interchanging the role of space and time variables. Bi- (or multi-) hamiltonian hierarchies, obtained this way, reduce naturally to the stationary subspaces giving some insight into the recursive structure of stationary flows.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:198:y:1993:i:3:p:637-654
    DOI: 10.1016/0378-4371(93)90244-X
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    References listed on IDEAS

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    1. Fuchssteiner, Benno & Carillo, Sandra, 1989. "Soliton structure versus singularity analysis: Third-order completely intergrable nonlinear differential equations in 1 + 1-dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 467-510.
    2. 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.
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