New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation

2018/02/10 by Tihomir Valchev, Valchev, T. I., A.B. Yanovski +1 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #17B80 #35G50 #37K10 #37K15 #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Mathematical Physics (math-ph) #Molecular spectroscopy and chirality #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1802.03591

openalex publication_date 2018/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present in this report 1+1 dimensional nonlinear partial differential equation integrable through inverse scattering transform. The integrable system under consideration is a pseudo-Hermitian reduction of a matrix generalization of classical 1+1 dimensional Heisenberg ferromagnet equation. We derive recursion operators and describe the integrable hierarchy related to that matrix equation.

Cited by

• Dispersionless Limits of Integrable Generalized Heisenberg Ferromagnet Equations

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