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nlin.SIMar 21, 2019
authors
  • Zhaidary Myrzakulova
  • Gulgassyl Nugmanova
  • Kuralay Yesmakhanova
  • Ratbay Myrzakulov
arXiv abstractPDF
paper

Dispersionless Limits of Integrable Generalized Heisenberg Ferromagnet Equations

arXiv:1903.09195

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.

arXiv comment10 pages

References in corpus (10)

  • Integrable (2+1)-Dimensional Spin Models with Self-Consistent Potentials
  • Classical R-matrix theory of dispersionless systems: I. (1+1)-dimension theory
  • Integrable Motion of Curves in Self-Consistent Potentials : Relation to Spin Systems and Soliton Equations
  • Meromorphic Lax representations of (1+1)-dimensional multi-Hamiltonian dispersionless systems
  • Integrability of the Gauss-Codazzi-Mainardi equation in 2+1 dimensions
  • Integrable (3+1)-dimensional system with an algebraic Lax pair
  • Six-dimensional heavenly equation. Dressing scheme and the hierarchy
  • New Reductions of a Matrix Generalized Heisenberg Ferromagnet Equation
  • Integrable Flows of Curves/Surfaces, Generalized Heisenberg Ferromagnet Equation and Complex Coupled Dispersionless Equation
  • Coupled Dispersionless and Generalized Heisenberg Ferromagnet Equations with Self-Consistent Sources: Geometry and Equivalence
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