Generalized Darboux transform in the Ishimori magnet model on the background of spiral structures

2003/12/01 by E. Sh. Gutshabash · 3 citations
Physics and Astronomy · Computer Science · Mathematics · #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Nonlinear Dynamics and Pattern Formation #Magnet #Spiral (railway) #Physics #Solid-state physics #Phase (matter) #Darboux integral #Theoretical physics #Mathematical analysis #Mathematics #Geometry #Condensed matter physics #Quantum mechanics

paper · doi:10.1134/1.1648299

published in Journal of Experimental and Theoretical Physics Letters 78(11), 740-744 (Pleiades Publishing)

openalex publication_date 2003/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

The integration procedure based on the generalized Darboux transform is suggested for the Ishimori magnet model. Exact solutions are constructed for the model on the background of spiral structures. The possibility of phase transition in the system is hypothesized.

Citations

• Hamiltonian Methods in the Theory of Solitons
• Nonlinear excitations in a Hamiltonian spin-field model in 2+1 dimensions
• Multi-Vortex Solutions of a Two-Dimensional Nonlinear Wave Equation
• Topological Spin Excitations of Heisenberg Antiferromagnets in Two Dimensions

Cited by

• Ishimori equation [wikipedia]