Zobrazeno 1 - 10
of 123
pro vyhledávání: '"Rueda, Sonia"'
Autor:
Delgado, Rafael, Heredero, Rafael Hernández, Jiménez-Pastor, Antonio, Rueda, Sonia L., Zurro, Maria-Angeles
Almost commuting operators were introduced in 1985 by George Wilson to present generalizations the Korteweg-de Vries hierarchy, nowadays known as Gelfand-Dikey (GD) hierarchies. In this paper, we review the formal construction of the vector space of
Externí odkaz:
http://arxiv.org/abs/2405.05421
Dynamic models describe phenomena across scientific disciplines, yet to make these models useful in application the unknown parameter values of the models must be determined. Discrete-time dynamic models are widely used to model biological processes,
Externí odkaz:
http://arxiv.org/abs/2401.16220
Autor:
Rueda, Sonia L., Zurro, Maria-Angeles
Commuting pairs of ordinary differential operators (ODOs) have been related to plane algebraic curves since the work of Burchnall and Chaundy a century ago. We introduce now the concept of Burchnall-Chaundy (BC) ideal of a commuting pair, as the idea
Externí odkaz:
http://arxiv.org/abs/2311.09988
Burchnall and Chaundy showed that if two ODOs $P$, $Q$ with analytic coefficients commute there exists a polynomial $f(\lambda ,\mu)$ with complex coefficients such that $f(P,Q)=0$, called the BC-polynomial. This polynomial can be computed using the
Externí odkaz:
http://arxiv.org/abs/2210.02788
Autor:
Rueda, Sonia L., Zurro, Maria-Angeles
We consider the classical factorization problem of a third order ordinary differential operator $L-\lambda$, for a spectral parameter $\lambda$. It is assumed that $L$ is an algebro-geometric operator, that it has a nontrivial centralizer, which can
Externí odkaz:
http://arxiv.org/abs/2102.04733
Publikováno v:
In Journal of Symbolic Computation May-June 2025 128
Autor:
Rueda, Sonia L.1 (AUTHOR) sonialuisa.rueda@upm.es, Zurro, Maria-Angeles2 (AUTHOR) mangeles.zurro@uam.es
Publikováno v:
Axioms (2075-1680). Apr2024, Vol. 13 Issue 4, p274. 32p.
Publikováno v:
In Physica D: Nonlinear Phenomena November 2023 453
We address the classical factorization problem of a one dimensional Schr\"odinger operator $-\partial^2+u-\lambda$, for a stationary potential $u$ of the KdV hierarchy but, in this occasion, a "parameter" $\lambda$. Inspired by the more effective app
Externí odkaz:
http://arxiv.org/abs/1902.05443
Publikováno v:
SIGMA 15 (2019), 101, 23 pages
The Burchnall-Chaundy problem is classical in differential algebra, seeking to describe all commutative subalgebras of a ring of ordinary differential operators whose coefficients are functions in a given class. It received less attention when posed
Externí odkaz:
http://arxiv.org/abs/1902.01361