The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems

2025/01/28 by Makridin, Zakhar V., Pavlov, Maxim V.
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.2501.17327

Abstract

General and particular solutions of the so called semi-Hamiltonian hydrodynamic type systems can be obtained by the Tsarev Generalized Hodograph Method. Here we show that a natural extension of this approach applied to dispersive integrable systems is determined by isomonodromic deformations.

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