General Zakharov-Shabat equations without Lax operators

Fuente: arXiv
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Hauptverfasser: Noumi, Masatoshi, Takebe, Takashi
Format: Preprint
Veröffentlicht: 2025
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_version_ 1866915700824604672
author Noumi, Masatoshi
Takebe, Takashi
author_facet Noumi, Masatoshi
Takebe, Takashi
contents The operators in the Zakharov-Shabat equations of integrable hierarchies are usually defined from the Lax operators. In this article it is shown that the Zakharov-Shabat equations themselves recover the Lax operators under suitable change of independent variables in the case of the KP hierarchy and the modified KP hierarchy (in the matrix formulation).
format Preprint
id arxiv_https___arxiv_org_abs_2512_24216
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle General Zakharov-Shabat equations without Lax operators
Noumi, Masatoshi
Takebe, Takashi
Exactly Solvable and Integrable Systems
37K10
The operators in the Zakharov-Shabat equations of integrable hierarchies are usually defined from the Lax operators. In this article it is shown that the Zakharov-Shabat equations themselves recover the Lax operators under suitable change of independent variables in the case of the KP hierarchy and the modified KP hierarchy (in the matrix formulation).
title General Zakharov-Shabat equations without Lax operators
topic Exactly Solvable and Integrable Systems
37K10
url https://arxiv.org/abs/2512.24216