Generalized Schrödinger equations and Jordan pairs
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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.
KeywordsNeural Network Statistical Physic Complex System Nonlinear Dynamics Integrable System
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