Binary Darboux transformations of the supersymmetric Heisenberg magnet model

DOI10.1134/S0040577919060023zbMath1435.82038OpenAlexW2954456149WikidataQ127596048 ScholiaQ127596048MaRDI QIDQ2280483

Bushra Haider, Zeeshan Amjad

Publication date: 18 December 2019

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577919060023

zbMATH Keywords

supersymmetryintegrable systemquasi-GrammianHeisenberg magnet model

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Statistical mechanics of magnetic materials (82D40)

Related Items

Binary Darboux transformation of time-discrete generalized lattice Heisenberg magnet model ⋮ Solitons and quasi-Grammians of the generalized lattice Heisenberg magnet model ⋮ Binary Darboux transformations of the supersymmetric Heisenberg magnet model ⋮ Binary Darboux transformation for a negative-order AKNS equation ⋮ Nonlocal-derivative NLS equations and group-invariant soliton solutions

Cites Work

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• Darboux transformations for discrete systems
• On the Darboux matrices of Bäcklund transformations for AKNS systems
• A theory of noncommutative determinants and characteristic functions of graphs
• Applications of Darboux transformations to the self-dual Yang-Mills equations
• Quasideterminants
• Determinants of matrices over noncommutative rings
• Binary Darboux transformations of the supersymmetric Heisenberg magnet model
• Differential operators on the superline, Berezinians, and Darboux transformations
• Darboux transformations in integrable systems. Theory and their applications to geometry
• Darboux transformations for differential operators on the superline
• Binary Darboux Transformation for the Supersymmetric Principal Chiral Field Model
• Quasideterminant multisoliton solutions of a supersymmetric chiral field model in two dimensions
• TheU(N) chiral model and exact multi-solitons