Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Peter H. van der Kamp"'
Integrable Boundary Conditions for Quad Equations, Open Boundary Reductions, and Integrable Mappings
Publikováno v:
International Mathematics Research Notices. 2022:18110-18153
In the context of integrable partial difference equations on quad-graphs, we introduce the notion of open boundary reductions as a new means to construct discrete integrable mappings and their invariants. This represents an alternative to the well-kn
An auto-Bäcklund transformation for the quad equation Q11 is considered as a discrete equation, called H2 a , which is a so called torqued version of H2. The equations H2 a and Q11 compose a consistent cube, from which an auto-Bäcklund transformati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::feb38f7a6406d39129eb8676e35d6acf
We construct and study certain Liouville integrable, superintegrable, and non-commutative integrable systems, which are associated with multi-sums of products.
26 pages, submitted to Proceedings of the royal society A
26 pages, submitted to Proceedings of the royal society A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::685d4536c8a4430da9b1366b6ccd4089
In this paper an approach to generate multi-dimensionally consistent $N$-component systems is proposed. The approach starts from scalar multi-dimensionally consistent quadrilateral systems and makes use of the cyclic group. The obtained $N$-component
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b791db223c988ebd6ba684f1ec1b3127
The discrete-time Toda equation arises as a universal equation for the relevant Hankel determinants associated with one-variable orthogonal polynomials through the mechanism of adjacency, which amounts to the inclusion of shifted weight functions in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2165040d9a4743070fe923099a165898
Publikováno v:
Mathematical Physics, Analysis and Geometry. 24
We provide a method which from a given auto-Backlund transformation (auto-BT) produces another auto-BT for a different equation. We apply the method to the natural auto-BTs for the ABS quad equations, which gives rise to torqued versions of ABS equat
Publikováno v:
Journal of Physics A: Mathematical and Theoretical.
We show that any system of ODEs can be modified whilst preserving its homogeneous Darboux polynomials. We employ the result to generalise a hierarchy of integrable Lotka-Volterra systems.
6 pages
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f44a21735af99560516fcbe43b3eb6a
http://arxiv.org/abs/2002.08548
http://arxiv.org/abs/2002.08548
Autor:
Khaled Hamad, Peter H. van der Kamp
Publikováno v:
Journal of Difference Equations and Applications. 22:789-816
We show how to obtain relations for the divisors of terms generated by a homogenized version of a rational recurrence. When the rational recurrence confines singularities the relations take the form of a rational recurrence, possibly with periodic co
Publikováno v:
Pattern Recognition. 98:107054
When an individual’s fingerprint is scanned, although the global fingerprint pattern is unchanged, at the local level, between different scans the minutiae pattern may vary. Minutiae translation and rotation are caused by changing finger orientatio