Darboux transformation and exact solutions of the integrable Heisenberg ferromagnetic equation with self-consistent potentials

DOI10.1142/S0219887815501340zbMath1332.37042arXiv1404.2270MaRDI QIDQ5744181

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Publication date: 17 February 2016

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.2270

zbMATH Keywords

solitonsintegrable systemDarboux transformationHeisenberg ferromagnetic equation

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Statistical mechanics of ferroelectrics (82D45) Electromagnetic theory (general) (78A25) Soliton solutions (35C08) PDEs in connection with statistical mechanics (35Q82)

Related Items (10)

The continuous classical Heisenberg ferromagnet equation with in-plane asymptotic conditions. II: IST and closed-form soliton solutions ⋮ On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential ⋮ Darboux transformation and soliton solutions of the nonlocal Heisenberg spin system with self-consistent potential ⋮ New soliton solutions for a discrete electrical lattice using the Jacobi elliptical function method ⋮ Solitons and other solutions of the nonlinear fractional zoomeron equation ⋮ Coupled dispersionless and generalized Heisenberg ferromagnet equations with self-consistent sources: Geometry and equivalence ⋮ Integrable geometric flows of interacting curves/surfaces, multilayer spin systems and the vector nonlinear Schrödinger equation ⋮ Integrable motion of two interacting curves, spin systems and the Manakov system ⋮ Darboux transformations of the one-dimensional stationary Dirac equation with linear potential and its new solutions ⋮ Exotical solitons for an intrinsic fractional circuit using the sine-cosine method

Cites Work

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• On a set of models of magnets and chiral fields: Integrability, the Darboux transformation, and exact solutions
• Integrable \((2 + 1)\)-dimensional spin models with self-consistent potentials
• Integrable motion of curves in self-consistent potentials: relation to spin systems and soliton equations

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