Additional symmetries of the Zakharov-Shabat hierarchy, String equation and Isomonodromy

1997/10/31 by L. A. Dickey, Dickey, L. A.
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9711003

11 pages, LaTeX

arxiv created 1997/10/31 · openalex publication_date 1997/10/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Isomonodromic deformations are nothing but symmetries of the Zakharov-Shabat (isospectral) hierarchy, both the basic ones (belonging to the hierarchy) and additional, restricted to the submanifold of solutions to the string equation.

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