Dispersionless Limits of Integrable Generalized Heisenberg Ferromagnet Equations

2019/03/21 by Жайдары Мырзакулова, Myrzakulova, Zhaidary, Gulgassyl Nugmanova +5
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Algebraic structures and combinatorial models #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1903.09195

openalex publication_date 2019/03/21 · openalex created_date 2019/04/01 · openalex updated_date 2026/07/28

Abstract

This paper is a continuation of our previous work in which we studied a dispersionless limits of some integrable spin systems (magnetic equations). Now, we shall present dispersionless limits of some integrable generalized Heisenberg ferromagnet equations.

Citations

• Integrability of the Gauss-Codazzi-Mainardi equation in 2+1 dimensions
• New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
• Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation

Related

• Dispersionless Limits of Some Integrable Equations
• Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence
• A Generic Nonlinear Evolution Equation of Magnetic Type II. Particular Solutions
• Integrable generalized Heisenberg ferromagnet equations with self-consistent potentials and related Yajima-Oikawa type equations
• Nonlocal Reductions of a Generalized Heisenberg Ferromagnet Equation