Results 31 to 40 of about 86,829 (231)
The anisotropic λ-deformed SU(2) model is integrable
Physics Letters B, 2015 The all-loop anisotropic Thirring model interpolates between the WZW model and the non-Abelian T-dual of the anisotropic principal chiral model.
Konstantinos Sfetsos +1 more
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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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Multiscale expansion and integrability properties of the lattice potential KdV equation [PDF]
, 2007 We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation.
Agrotis M +18 more
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Lax pairs for deformed Minkowski spacetimes [PDF]
Journal of High Energy Physics, 2016 We proceed to study Yang-Baxter deformations of 4D Minkowski spacetime based on a conformal embedding. We first revisit a Melvin background and argue a Lax pair by adopting a simple replacement law invented in 1509.00173. This argument enables us to deduce a general expression of Lax pair.
Kyono, Hideki +2 more
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NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES
Вестник Северо-Кавказского федерального университета, 2022 The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering ...
Valentina M. Karslieva
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Lax pair and Darboux transformation of noncommutative U(N) principal chiral model [PDF]
, 2006 We present a noncommutative generalization of Lax formalism of U(N) principal chiral model in terms of a one-parameter family of flat connections. The Lax formalism is further used to derive a set of parametric noncommutative B\"{a}cklund transformation ...
Braden H +21 more
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Quantum line operators from Lax pairs [PDF]
Journal of Mathematical Physics, 2020 Motivated by the realization of the Yang–Baxter equation of 2D integrable models in the 4D gauge theory of Costello–Witten–Yamazaki (CWY), we study the embedding of integrable 2D Toda field models inside this construction. This is done by using the Lax formulation of 2D integrable systems and by thinking of the standard Lax pair L± in terms of ...
openaire +3 more sources
On integrability of 2-dimensional σ-models of Poisson-Lie type
Journal of High Energy Physics, 2017 We describe a simple procedure for constructing a Lax pair for suitable 2- dimensional σ-models appearing in Poisson-Lie T ...
Pavol Ševera
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A Comprehensive Study of the Complex mKdV Equation through the Singular Manifold Method
Mathematics, 2023 In this paper, we introduce a modification of the Singular Manifold Method in order to derive the associated spectral problem for a generalization of the complex version of the modified Korteweg–de Vries equation.
Paz Albares, Pilar G. Estévez
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Integrable three-body systems with distinct two-body forces [PDF]
, 1991 Translationally invariant one-dimensional three-body systems with mutually different pair potentials are derived that possess a third constant of motion, both classically and quantum-mechanically; a Lax pair is given, and all (even) regular solutions of ...
Hoppe, J., Theisen, S.
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