Results 11 to 20 of about 52,586 (291)
Weak Lax pairs for lattice equations [PDF]
Nonlinearity, 2011 We consider various 2D lattice equations and their integrability, from the point of view of 3D consistency, Lax pairs and B\"acklund transformations. We show that these concepts, which are associated with integrability, are not strictly equivalent.
Hietarinta, Jarmo, Viallet, Claude
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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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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.
Georgy I. Burde
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Miura-Reciprocal Transformation and Symmetries for the Spectral Problems of KdV and mKdV
Mathematics, 2021 We present reciprocal transformations for the spectral problems of Korteveg de Vries (KdV) and modified Korteveg de Vries (mKdV) equations. The resulting equations, RKdV (reciprocal KdV) and RmKdV (reciprocal mKdV), are connected through a transformation
Paz Albares, Pilar Garcia Estévez
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The conservation laws of several 2+1 dimensional semi-discrete equations
Partial Differential Equations in Applied Mathematics, 2022 In this paper, we further develop and enrich the results on conservation laws obtained in Zhu (2003) and present two forms of conservation laws in different directions.
Chun-Xia Li +4 more
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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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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 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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Lax pairs for string Newton Cartan geometry
Nuclear Physics B, 2020 In this paper, based on a systematic formulation of Lax pairs, we show classical integrability for nonrelativistic strings propagating over stringy Newton-Cartan (NC) geometry.
Dibakar Roychowdhury
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