Results 1 to 10 of about 43 (43)

Integrality and the Laurent phenomenon for Somos 4 and Somos 5 sequences [PDF]

, 2008
Somos 4 sequences are a family of sequences defined by a fourth-order quadratic recurrence relation with constant coefficients. For particular choices of the coefficients and the four initial data, such recurrences can yield sequences of integers.
Swart, Christine, Hone, Andrew N.W.
core   +1 more source

Laurent Polynomials and Superintegrable Maps [PDF]

, 2007
This article is dedicated to the memory of Vadim Kuznetsov, and begins with some of the author's recollections of him. Thereafter, a brief review of Somos sequences is provided, with particular focus being made on the integrable structure of Somos-4 ...
Andrew N.W. Hone, Hone, Andrew N.W.
core  

Lagrangian structures and multidimensional consistency [PDF]

, 2010
The conventional point of view is that the Lagrangian is a scalar object (or equivalently a volume form), which through the Euler-Lagrange equations provides us with one single equation (i.e., one per component of the dependent variable ...
Lobb, Sarah Beverley
core  

On the Stability of Periodic Multi-Solitons of the KdV Equation. [PDF]

Commun Math Phys, 2021
Kappeler T, Montalto R.
europepmc   +1 more source

Arithmetic of arithmetic Coxeter groups. [PDF]

Proc Natl Acad Sci U S A, 2019
Milea S, Shelley CD, Weissman MH.
europepmc   +1 more source

Open problems, questions and challenges in finite- dimensional integrable systems. [PDF]

Philos Trans A Math Phys Eng Sci, 2018
Bolsinov A, Matveev VS, Miranda E, Tabachnikov S.   +3 more
europepmc   +1 more source

Spacelike Singularities and Hidden Symmetries of Gravity. [PDF]

Living Rev Relativ, 2008
Henneaux M, Persson D, Spindel P.
europepmc   +1 more source

The computation of classical constants. [PDF]

Proc Natl Acad Sci U S A, 1989
Chudnovsky DV, Chudnovsky GV.
europepmc   +1 more source

Most totally real fields do not have universal forms or the Northcott property. [PDF]

Proc Natl Acad Sci U S A
Daans N, Kala V, Man SH, Widmer M, Yatsyna P.   +4 more
europepmc   +1 more source

A KAM Approach to the Inviscid Limit for the 2D Navier-Stokes Equations. [PDF]

Ann Henri Poincare
Franzoi L, Montalto R.
europepmc   +1 more source