This article is cited in 4 papers

Integrable Chains and Hierarchies of Differential Evolution Equations

A. K. Svinin

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: A class of integrable differential-difference systems is constructed based on auxiliary linear equations defined on sequences of Zakharov–Shabat formal dressing operators. We show that the auxiliary equations are compatible with the evolution equations for the Kadomtsev–Petviashvili (KP) hierarchy. The investigation results are used to elaborate a modified version of Krichever rational reductions for KP hierarchies.

Received: 16.04.2001

DOI: 10.4213/tmf288

 English version: Theoretical and Mathematical Physics, 2002, 130:1, 11–24

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