A Generic Nonlinear Evolution Equation of Magnetic Type I. Reductions

2023/02/10 by Tihomir Valchev, Valchev, Tihomir
Computer Science · Mathematics · Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Nonlinear Waves and Solitons #Numerical methods for differential equations

paper · pdf · doi:10.48550/arxiv.2302.05551

openalex publication_date 2023/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The present preprint is dedicated to a nonlinear evolution equation that generalizes the classical Heisenberg ferromagnet equation in certain way. That generalization is completely integrable and has a linear bundle Lax pair in pole gauge related to the special linear algebra. A few reductions of the generic matrix equation are considered.

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