Results 1 to 10 of about 3,400 (165)
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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Soliton management in a variable-coefficient coupled dispersionless system via Darboux transformation [PDF]
Scientific ReportsWe study a coupled dispersionless system in $$(1+1)$$ dimensions with a time-dependent coefficient in the nonlinear coupling. The model consists of a real field u(x, t) and a complex field $$\psi (x,t)$$ , driven by a prescribed modulation function ...
H. W. A. Riaz +2 more
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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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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.
M Kassem
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Quasi-integrability from $$\mathcal{P}\mathcal{T}$$ -symmetry [PDF]
Scientific ReportsParity and time-reversal ( $$\mathcal{P}\mathcal{T}$$ ) symmetry is shown as the natural cause of quasi-integrability of deformed integrable models, crucial to represent real physical systems as they posses various irregularities.
Kumar Abhinav +2 more
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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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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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Lax Pair Tensors and Integrable Spacetimes [PDF]
General Relativity and Gravitation, 1998 10 pages ...
Rosquist, Kjell, Goliath, Martin
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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 18 p., to appear in Sib.
Zheglov, A. B., Osipov, D. V.
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