Results 31 to 40 of about 1,801 (94)

RECURSION OPERATORS FOR RATIONAL BUNDLE ON sl(3,C) WITH Z2 × Z2 × Z2 REDUCTION OF MIKHAILOV TYPE

, 2015
We consider the recursion operator related to a system introduced recently that could be considered as a generalization to a pole gauge generalized Zakharov-Shabat system on sl(3,C) but involving rational dependence on the spectral parameter and subject ...
A. Yanovski
semanticscholar   +1 more source

On the combinatorics of several integrable hierarchies [PDF]

J. Phys. A: Math. Theor. 48 (2015) 265203, 2015
We demonstrate that statistics of certain classes of set partitions is described by generating functions related to the Burgers, Ibragimov--Shabat and Korteweg--de Vries integrable hierarchies.
arxiv   +1 more source

Orthogonal polynomials, Toda lattices and Painlevé equations [PDF]

, 2022
We give a survey of the connection between orthogonal polynomials, Toda lattices and related lattices, and Painlev\'e equations (discrete and continuous).
arxiv   +1 more source

Complete integrability versus symmetry

, 2012
The purpose of this article is to show that on an open and dense set, complete integrability implies the existence of ...
Abraham R., Arnold V. I., Holm D. D., Holm D. D., Holm D. D., Kozlov V. V., Marsden J. E., Ratiu T. S., Răzvan M. Tudoran, Stephani H.   +9 more
core   +1 more source

Restricted Flows and the Soliton Equation with Self-Consistent Sources [PDF]

, 2006
The KdV equation is used as an example to illustrate the relation between the restricted flows and the soliton equation with self-consistent sources. Inspired by the results on the Backlund transformation for the restricted flows (by V.B. Kuznetsov et al.
Lin, Runliang, Yao, Haishen, Zeng, Yunbo
core   +4 more sources

On the non-integrability of the Popowicz peakon system [PDF]

, 2008
We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Andrew N. W. Hone, Manuscript Submitted To, Michael V. Irle   +2 more
core   +3 more sources

Integrability of Discrete Equations Modulo a Prime [PDF]

, 2013
We apply the 'almost good reduction' (AGR) criterion, which has been introduced in our previous (arXiv:1206.4456 and arXiv:1209.0223), to several classes of discrete integrable equations.
Kanki, Masataka
core   +3 more sources

Low regularity conservation laws for Fokas-Lenells equation and Camassa-Holm equation

Advances in Nonlinear Analysis
In this article, we mainly prove low regularity conservation laws for the Fokas-Lenells equation in Besov spaces with small initial data both on the line and on the circle. We develop a new technique in Fourier analysis and complex analysis to obtain the
Shan Minjie, Chen Mingjuan, Lu Yufeng, Wang Jing   +3 more
doaj   +1 more source

Evidence for the Nonintegrability of a Water Wave Equation in 2+1 Dimensions

, 2004
We provide evidence of the nonintegrability of a recently proposed model for water waves in 2+1 dimensions: we show that under a nonlinear time transformation, a certain reduction of this partial differential equation is mapped to an ordinary ...
P. R. Gordoa, A. Pickering, M. Senthilvelan   +2 more
semanticscholar   +1 more source

Non-commutative q-Painleve VI equation [PDF]

, 2013
By applying suitable centrality condition to non-commutative non-isospectral lattice modified Gel'fand-Dikii type systems we obtain the corresponding non-autonomous equations. Then we derive non-commutative q-discrete Painleve VI equation with full range
Doliwa, Adam
core   +1 more source