Zobrazeno 1 - 10
of 169
pro vyhledávání: '"Alfred Michel"'
Autor:
Grundland, Alfred Michel
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Special Issue in Memory of Decio Levi (February 15, 2024) ocnmp:11341
In this paper, we establish a relation between two seemingly unrelated concepts for solving first-order hyperbolic quasilinear systems of partial differential equations in many dimensions. These concepts are based on a variant of the conditional symm
Externí odkaz:
http://arxiv.org/abs/2305.04090
Publikováno v:
J. Phys. A: Math. Theor. 56 345205 (2023)
We investigate the real Lie algebra of first-order differential operators with polynomial coefficients, which is subject to the following requirements. (1) The Lie algebra should admit a basis of differential operators with homogeneous polynomial coe
Externí odkaz:
http://arxiv.org/abs/2304.06458
Publikováno v:
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 oscillators. The exceptional polynomials allow the existence of different supercharges from the Darboux-Crum and Krein-Adler con
Externí odkaz:
http://arxiv.org/abs/2211.00327
Autor:
Alfred Michel Grundland
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Special Issue in Memory of... (2024)
In this paper, we establish a relation between two seemingly unrelated concepts for solving first-order hyperbolic quasilinear systems of partial differential equations in many dimensions. These concepts are based on a variant of the conditional symm
Externí odkaz:
https://doaj.org/article/8e63e269a0024a4194f7c8c462e59163
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 orthogonal polynomials. After a brief description of the soliton surfaces approach defined
Externí odkaz:
http://arxiv.org/abs/1912.10899
In this paper, it is shown how a combination of approximate symmetries of a nonlinear wave equation with small dissipations and singularity analysis provides exact analytic solutions. We perform the analysis using the Lie symmetry algebra of this equ
Externí odkaz:
http://arxiv.org/abs/1909.10027
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 model in two dimensions and the orthogonal Krawtchouk polynomials. We show that such solutions
Externí odkaz:
http://arxiv.org/abs/1909.10041
Publikováno v:
Annales Henri Poincaré; Aug2024, Vol. 25 Issue 8, p3779-3804, 26p
This paper is devoted to a study of the connections between three different analytic descriptions for the immersion functions of 2D-surfaces corresponding to the following three types of symmetries: gauge symmetries of the linear spectral problem, co
Externí odkaz:
http://arxiv.org/abs/1603.07634
Publikováno v:
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 Gauss-Weingarten and Gauss-Codazzi (GC) equations for conformally parametrized surfaces immersed in a Grassmann superspace, one in terms of a bosonic sup
Externí odkaz:
http://arxiv.org/abs/1504.08260