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29 March 2024
 
  » arxiv » 0907.3205

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Gauge-invariant description of several (2+1)-dimensional integrable nonlinear evolution equations
V. G. Dubrovsky ; A. V. Gramolin ;
Date 20 Jul 2009
AbstractWe obtain new gauge-invariant forms of two-dimensional integrable systems of nonlinear equations: the Sawada-Kotera and Kaup-Kuperschmidt system, the generalized system of dispersive long waves, and the Nizhnik-Veselov-Novikov system. We show how these forms imply both new and well-known two-dimensional integrable nonlinear equations: the Sawada-Kotera equation, Kaup-Kuperschmidt equation, dispersive long-wave system, Nizhnik-Veselov-Novikov equation, and modified Nizhnik-Veselov-Novikov equation. We consider Miura-type transformations between nonlinear equations in different gauges.
Source arXiv, 0907.3205
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