Results 21 to 30 of about 603,795 (280)
O(d,d) transformations preserve classical integrability
Nuclear Physics B, 2020 In this note, we study the action of O(d,d) transformations on the integrable structure of two-dimensional non-linear sigma models via the doubled formalism.
Domenico Orlando +3 more
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Quantum Lax Pairs via Dunkl and Cherednik Operators [PDF]
, 2019 We establish a direct link between Dunkl operators and quantum Lax matrices L for the Calogero–Moser systems associated to an arbitrary Weyl group W (or an arbitrary finite reflection group in the rational case).
Chalykh, O
core +1 more source
Mathematics, 2021 In this paper, by using the gauge transformation and the Lax pairs, the N-fold Darboux transformation (DT) of the classical three-component nonlinear Schrödinger (NLS) equations is given.
Yu-Shan Bai, Peng-Xiang Su, Wen-Xiu Ma
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Time-like boundary conditions in the NLS model
Nuclear Physics B, 2019 We focus on the non-linear Schrödinger model and we extend the notion of space-time dualities in the presence of integrable time-like boundary conditions.
Anastasia Doikou +2 more
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Universal Journal of Mathematics and Applications, 2020 From elementary exponential functions which depend on several parameters, we construct multi-parametric solutions to the Boussinesq equation. When we perform a passage to the limit when one of these para\-meters goes to $0$, we get rational solutions as ...
Pierre Gaillard
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Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations
Mathematics, 2023 In this study, we investigate coupled real and complex dispersionless equations for curve families, even if they have singular points. Even though the connections with the differential equations and regular curves were considered in various ways in the ...
Nikola Popović +3 more
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A Finite-Dimensional Integrable System Related to the Kadometsev–Petviashvili Equation
Mathematics, 2023 In this paper, the Kadometsev–Petviashvili equation and the Bargmann system are obtained from a second-order operator spectral problem Lφ=(∂2−v∂−λu)φ=λφx.
Wei Liu +3 more
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The Lax pair for the fermionic Bazhanov-Stroganov R-operator
Physics Letters B, 2021 We derive the Lax connection of the free fermion model on a lattice starting from the fermionic formulation of Bazhanov-Stroganov's three-parameter elliptic parametrization for the R-operator. It results in the Yang-Baxter and decorated Yang-Baxter equations of difference type in one of the spectral parameters, which is the most suitable form to obtain
A. Melikyan, G. Weber
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Lax Pair for a Novel Two-Dimensional Lattice [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2021 In paper by I.T. Habibullin and our joint paper the algorithm for classification of integrable equations with three independent variables was proposed. This method is based on the requirement of the existence of an infinite set of Darboux integrable reductions and on the notion of the characteristic Lie-Rinehart algebras. The method was applied for the
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A generalized isospectral–nonisospectral heat equation hierarchy and its expanding integrable model
Advances in Difference Equations, 2020 A generalized nonisospectral heat integrable hierarchy with three dependent variables is singled out. A Bäcklund transformation of a resulting isospectral integrable hierarchy is produced by converting the usual Lax pair into the Lax pairs in Riccati ...
Huanhuan Lu, Yufeng Zhang, Jianqin Mei
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