Results 31 to 40 of about 1,858,479 (279)
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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Lax pairs for integrable lattice systems [PDF]
Journal of Mathematical Physics, 1999 This paper studies the structure of Lax pairs associated with integrable lattice systems (where space is a one-dimensional lattice, and time is continuous). It describes a procedure for generating examples of such systems, and emphasizes the features that are needed to obtain equations which are local on the spatial lattice.
openaire +2 more sources
A Note on Lax Pairs of the Sawada-Kotera Equation
Journal of Mathematics, 2014 We prove that the new Lax pair of the Sawada-Kotera equation, discovered recently by Hickman, Hereman, Larue, and Göktaş, and the well-known old Lax pair of this equation, considered in the form of zero-curvature representations, are gauge equivalent to ...
Sergei Sakovich
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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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Frontiers in Physics, 2022 In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
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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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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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Generalised Calogero-Moser models and universal Lax pair operators [PDF]
, 1999 Calogero-Moser models can be generalised for all of the finite reflection groups. These include models based on non-crystallographic root systems, that is the root systems of the finite reflection groups, H_3, H_4, and the dihedral group I_2(m), besides ...
A. J. Bordner +3 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
doaj
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
core +5 more sources