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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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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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Group similarity solutions of (2 + 1) Boiti-Leon-Manna-Pempinelli Lax pair
Ain Shams Engineering Journal, 2014 In this paper, a two parameter group transformation is applied to the Lax pair of a (2+1) Boiti–Leon–Manna–Pempinelli (BMLP). Three similarity variables are derived.
S. Mabrouk, M. Kassem
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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.
A. Melikyan, G. Weber
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Lax pair for the Adler (lattice Krichever–Novikov) system [PDF]
Physics Letters A, 2002 17 pages, 3 ...
Frank Nijhoff
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Assessing vowel effects on voice quality, and voice quality effects on the respiratory system [PDF]
JASA Express Letters, 2021 This study assesses (a) effects of vowel height and tense-lax status on the laryngeal closed quotient (CQ) and (b) whether respiratory volume changes vary with differences in CQ.
Laura L. Koenig, Susanne Fuchs
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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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Geometry of coupled dispersionless equations with Mannheim curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this paper, a special kind of curve pair associated with each other by the linear dependency between the principal normal vector of the first curve (called Mannheim curve) and the binormal vector of the second curve (called Mannheim partner curve) is ...
Eren Kemal
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Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 In the paper Lax pairs for linear Hamiltonian systems of differential equations are constructed. In particular, Gr bner bases are used for the computations. It is proved that the maps which appear in the construction of Lax pairs are Poisson. Various properties of first integrals of the system which are obtained from the Lax pairs are investigated.
Zheglov, A. B., Osipov, D. V.
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