Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

ABSTRACT We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of soliton solutions for these discrete equations.

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Publication Details

Journal
Studies in Applied Mathematics
Published
2025-08-01
DOI
https://doi.org/10.1111/sapm.70084
Primary Topic
Nonlinear Waves and Solitons
Type
article
Field-Weighted Citation Impact
0.00
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article

Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

Jan L. Cieśliński, Frank Nijhoff, А. В. Михайлов, Maciej Nieszporski
Studies in Applied Mathematics
Nonlinear Waves and Solitons
article

Discrete Integrable Principal Chiral Field Model and Its Involutive Reduction

Jan L. Cieśliński, Frank Nijhoff, А. В. Михайлов, Maciej Nieszporski
article en

Abstract

ABSTRACT We discuss an integrable discretization of the principal chiral field models equations and its involutive reduction. We present a Darboux transformation and general construction of soliton solutions for these discrete equations.

Studies in Applied MathematicsVol. 155(2)
University of Leeds (GB), University of Warsaw (PL)
Openalex Percentile: Top 85%
Nonlinear Waves and Solitons
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