Results 11 to 20 of about 1,858,479 (279)
Lax pair tensors and integrable spacetimes [PDF]
General Relativity and Gravitation, 1997 The use of Lax pair tensors as a unifying framework for Killing tensors of arbitrary rank is discussed. Some properties of the tensorial Lax pair formulation are stated.
A. Ashtekar +17 more
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Lax pair tensors in arbitrary dimensions [PDF]
Journal of Physics A: Mathematical and General, 1998 A recipe is presented for obtaining Lax tensors for any n-dimensional Hamiltonian system admitting a Lax representation of dimension n. Our approach is to use the Jacobi geometry and coupling-constant metamorphosis to obtain a geometric Lax formulation ...
+11 more
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Lax pairs for additive difference Painlevé equations [PDF]
, 2016 9 pages, 2 figures, 1 ...
Hidehito Nagao
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Lax pair for strings in Lunin-Maldacena background [PDF]
Journal of High Energy Physics, 2005 Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS_5 x S^5 background to generate a supergravity solution dual to a so-called beta-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the beta-deformed background for real beta, and show that solutions of string theory ...
Sergey Frolov
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Universal Lax Pair for Generalised CalogerosMoser Models
Journal of Non-linear Mathematical Physics, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ryu Sasaki
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A symmetric difference-differential Lax pair for Painlev\'e VI [PDF]
Journal of Integrable Systems, 2016 We present a Lax pair for the sixth Painlev\'e equation arising as a continuous isomonodromic deformation of a system of linear difference equations with an additional symmetry structure. We call this a symmetric difference-differential Lax pair. We show
C. Ormerod, E. Rains
semanticscholar +5 more sources
Lax Pairs for the Discrete Reduced Nahm Systems [PDF]
Mathematical Physics, Analysis and Geometry, 2021 We discretise the Lax pair for the reduced Nahm systems and prove its equivalence with the Kahan-Hirota-Kimura discretisation procedure. We show that these Lax pairs guarantee the integrability of the discrete reduced Nahm systems providing an invariant.
Giorgio Gubbiotti
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Simple identification of fake Lax pairs [PDF]
, 2013 Two simple ways to identify and explain fake Lax pairs are provided. The two methods are complementary, one involves finding a gauge transformation which can be used to remove the associated nonlinear system's dependent variable(s) from a fake Lax pair. The second method shows that excess degrees of freedom exist in fake Lax pairs.
Samuel Butler, Mike Hay
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Feynman Diagrams and Lax Pair Equations [PDF]
, 2006 Rewritten and expanded version of math-ph ...
Gabriel Bădiţoiu, Steven Rosenberg
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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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