Results 11 to 20 of about 3,281 (260)
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
exaly +4 more sources
Lax Pairs for Linear Hamiltonian Systems [PDF]
Siberian Mathematical Journal, 2019 18 p., to appear in Sib.
D V Osipov
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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, Gubbiotti Giorgio
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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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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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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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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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Lax Pair Tensors and Integrable Spacetimes [PDF]
General Relativity and Gravitation, 1998 10 pages ...
Rosquist, Kjell, Goliath, Martin
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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 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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