Search Results - "Michel, Alfred"
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1
On k-wave solutions of quasilinear systems of partial differential equations
Published in Open Communications in Nonlinear Mathematical Physics (15-02-2024)“…In this paper, we establish a relation between two seemingly unrelated concepts for solving first-order hyperbolic quasilinear systems of partial differential…”
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2
Algebraic Aspects of the Supersymmetric Minimal Surface Equation
Published in Symmetry (Basel) (01-12-2017)“…In this paper, a supersymmetric extension of the minimal surface equation is formulated. Based on this formulation, a Lie superalgebra of infinitesimal…”
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3
Effects of Phenolic Phytogenic Feed Additives on Certain Oxidative Damage Biomarkers and the Performance of Primiparous Sows Exposed to Heat Stress under Field Conditions
Published in Antioxidants (20-03-2022)“…The aim of this study was to investigate the effects of two commercial phenolic phytogenic feed additives (PFAs) on sows under heat stress conditions of high…”
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4
On k-wave solutions of quasilinear systems of partial differential equations
Published 21-01-2024“…Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:11341 In this paper, we establish a…”
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ON IMMERSION FORMULAS FOR SOLITON SURFACES
Published in Acta polytechnica (Prague, Czech Republic : 1992) (01-01-2016)“…This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to…”
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6
The Lie algebra of the lowest transitively differential group of degree three
Published 23-05-2023“…J. Phys. A: Math. Theor. 56 345205 (2023) We investigate the real Lie algebra of first-order differential operators with polynomial coefficients, which is…”
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7
Recurrence relations and general solution of the exceptional Hermite equation
Published 01-11-2022“…Ann. Henri Poincar\'e 1-26 (2023) Exceptional orthogonal Hermite and Laguerre polynomials have been linked to the k-step extension of harmonic and singular…”
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8
Minimal surfaces associated with orthogonal polynomials
Published in Journal of nonlinear mathematical physics (01-10-2020)“…This paper is devoted to a study of the connection between the immersion functions of two-dimensional surfaces in Euclidean or hyperbolic spaces and classical…”
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9
Recurrence Relations and General Solution of the Exceptional Hermite Equation
Published in Annales Henri Poincaré (01-08-2024)“…Exceptional orthogonal Hermite polynomials have been linked to the k-step extension of the harmonic oscillator. The exceptional polynomials allow the existence…”
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10
Supersymmetric versions of the equations of conformally parametrized surfaces
Published 30-04-2015“…Journal of Physics A: Math. Theor. 48, 175208 (37pp) 2015 The objective of this paper is to formulate two distinct supersymmetric (SUSY) extensions of the…”
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11
Minimal surfaces associated with orthogonal polynomials
Published 23-12-2019“…This paper is devoted to a study of the connection between the immersion functions of two-dimensional surfaces in Euclidean or hyperbolic spaces and classical…”
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12
Invariant solutions of a nonlinear wave equation with a small dissipation obtained via approximate symmetries
Published 22-09-2019“…In this paper, it is shown how a combination of approximate symmetries of a nonlinear wave equation with small dissipations and singularity analysis provides…”
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13
Veronese subsequent analytic solutions of the $\mathbb{C}P^{2s}$ sigma model equations described via Krawtchouk polynomials
Published 22-09-2019“…The objective of this paper is to establish a new relationship between the Veronese subsequent analytic solutions of the Euclidean $\mathbb{C}P^{2s}$ sigma…”
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14
On immersion formulas for soliton surfaces
Published 24-03-2016“…This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to…”
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15
Solutions of first-order quasilinear systems expressed in Riemann invariants
Published 24-10-2013“…We present a new technique for constructing solutions of quasilinear systems of first-order partial differential equations, in particular inhomogeneous ones. A…”
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16
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs
Published 09-01-2007“…This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry…”
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