Results 11 to 20 of about 3,408 (164)
A Note on Lax Pairs of the Sawada-Kotera Equation [PDF]
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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GEOMETRIZATION OF THE LAX PAIR TENSORS [PDF]
Modern Physics Letters A, 2000 The tensorial form of the Lax pair equations are given in a compact and geometrically transparent form in the presence of Cartan's torsion tensor. Three-dimensional space–times admitting Lax tensors are analyzed in detail. Solutions to Lax tensor equations include interesting examples as separable coordinates and the Toda lattice.
Baleanu, D., Başkal, S.
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Lax Pair Tensors and Integrable Spacetimes [PDF]
General Relativity and Gravitation, 1998 10 pages ...
Rosquist, Kjell, Goliath, Martin
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Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 18 p., to appear in Sib.
Zheglov, A. B., Osipov, D. V.
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Lax Pairs for the Modified KdV Equation
Axioms, 2023 Multi-parameter families of Lax pairs for the modified Korteweg-de Vries (mKdV) equation are defined by applying a direct method developed in the present study. The gauge transformations, converting the defined Lax pairs to some simpler forms, are found. The direct method and its possible applications to other types of evolution equations are discussed.
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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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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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Non-relativistic string monodromies
Journal of High Energy Physics, 2023 Spectral curve methods proved to be powerful techniques in the context of relativistic integrable string theories, since they allow us to derive the semiclassical spectrum from the minimal knowledge of a Lax pair and a classical string solution.
Andrea Fontanella +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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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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