The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems
Exactly Solvable and Integrable Systems
2025-01-30 v1
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.
Keywords
Cite
@article{arxiv.2501.17327,
title = {The Tsarev Generalized Hodograph Method and Isomonodromic Solutions of Integrable Dispersive Systems},
author = {Zakhar V. Makridin and Maxim V. Pavlov},
journal= {arXiv preprint arXiv:2501.17327},
year = {2025}
}