Parametric 4-simplex maps of degenerated NLS type
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Publication:6114601
DOI10.1134/s1995080223030277MaRDI QIDQ6114601
Publication date: 12 July 2023
Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)
Darboux transformationsYang-Baxter mapsZamolodchikov's tetrahedron equationparametric tetrahedron mapsNLS type equations4-simplex equationparametric 4-simplex maps
NLS equations (nonlinear Schrödinger equations) (35Q55) Exactly solvable models; Bethe ansatz (82B23) Groups and algebras in quantum theory and relations with integrable systems (81R12) Yang-Baxter equations (16T25)
Cites Work
- Integrable discretisations for a class of nonlinear Schrödinger equations on Grassmann algebras
- Nonlinear Schrödinger type tetrahedron maps
- Functional tetrahedron equation
- Noncommutative solutions to Zamolodchikov's tetrahedron equation and matrix six-factorisation problems
- Simplex and polygon equations.
- Darboux transformations, finite reduction groups and related Yang–Baxter maps
- Reduction groups and related integrable difference systems of nonlinear Schrödinger type
- Entwining Yang-Baxter maps and integrable lattices
- Grassmann extensions of Yang–Baxter maps
- Yang-Baxter maps and symmetries of integrable equations on quad-graphs
- On some unsolved problems in quantum group theory
- On non-abelian quadrirational Yang–Baxter maps*
- Non-commutative birational maps satisfying Zamolodchikov equation, and Desargues lattices
- Tetrahedron maps and symmetries of three dimensional integrable discrete equations
- Discrete KP Equation and Momentum Mapping of Toda System
- Entwining Yang–Baxter maps related to NLS type equations
- Integrable systems and gauge theories
- Birational solutions to the set-theoretical 4-simplex equation
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