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Communications in Mathematical Physics

, Volume 143, Issue 3, pp 559–575 | Cite as

Generalized Schrödinger equations and Jordan pairs

  • S. I. Svinolupov
Article

Abstract

The criteria of integrability for the nonlinear Schrödinger-type systems are obtained. One-to-one correspondence between such integrable systems and the Jordan paris is established. It turns out that irreducible systems correspond to simple Jordan pairs. An infinite series of generalized symmetries and local conservation laws for such systems are completely described.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Integrable System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  • S. I. Svinolupov
    • 1
  1. 1.Institute of MathematicsUral Branch of the Academy of Sciences of USSRUfaUSSR

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