Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Grundland, A. 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:
Grundland, A. Michel
To establish a relation between two approaches to the construction of Riemann k-wave solutions of hydrodynamic-type systems, namely the symmetry reduction method and the generalized method of characteristics.
Comment: Conference dedicated to the
Comment: Conference dedicated to the
Externí odkaz:
http://arxiv.org/abs/2108.04767
The main aim of this paper is the study of the general solution of the exceptional Hermite differential equation with fixed partition $\lambda = (1)$ and the construction of minimal surfaces associated with this solution. We derive a linear second-or
Externí odkaz:
http://arxiv.org/abs/2004.09250
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
The aim of this paper is to construct the structural equations of supermanifolds immersed in Euclidean, hyperbolic and spherical superspaces parametrised with two bosonic and two fermionic variables. To perform this analysis, for each type of immersi
Externí odkaz:
http://arxiv.org/abs/1806.04897
Autor:
Grundland, A. Michel, de Lucas, Javier
Publikováno v:
Selecta Mathematica - New Series 29, 434 (2018)
A geometric approach to immersion formulas for soliton surfaces is provided through new cohomologies on spaces of special types of $\mathfrak{g}$-valued differential forms. This leads us to introduce Poincar\'e-type lemmas for these cohomologies, whi
Externí odkaz:
http://arxiv.org/abs/1709.07789