Zobrazeno 1 - 10
of 631
pro vyhledávání: '"Lafortune, S."'
We propose a consideration of the properties of the two-dimensional Ablowitz-Ladik discretization of the ubiquitous nonlinear Schrodinger (NLS) model. We use singularity confinement techniques to suggest that the relevant discretization should not be
Externí odkaz:
http://arxiv.org/abs/0907.1386
The wavefronts associated with a one-dimensional combustion model with Arrhenius kinetics and no heat loss are analyzed within the high Lewis number perturbative limit. This situation, in which fuel diffusivity is small in comparison to that of heat,
Externí odkaz:
http://arxiv.org/abs/nlin/0612023
Autor:
Lafortune, S., Goriely, A.
Two important notions of integrability for discrete mappings are algebraic integrability and singularity confinement, have been used for discrete mappings. Algebraic integrability is related to the existence of sufficiently many conserved quantities
Externí odkaz:
http://arxiv.org/abs/nlin/0311014
Publikováno v:
Journal of Mathematical Physics 42 (2001), 5341-5357
A symmetry classification of possible interactions in a diatomic molecular chain is provided. For nonlinear interactions the group of Lie point transformations, leaving the lattice invariant and taking solutions into solutions, is at most five-dimens
Externí odkaz:
http://arxiv.org/abs/nlin/0204021
Publikováno v:
Backlund & Darboux Transformations: The Geometry of Soliton Theory, AARMS--CRM Workshop (Halifax, 1999) (Alan Coley, Decio Levi, Robert Milson, Colin Rogers, and P. Winternitz, eds.), CRM Proceedings & Lecture Notes, vol. 29, American Mathematical Society, Providence, RI, 2001, pp. 299-311
We confront two integrability criteria for rational mappings. The first is the singularity confinement based on the requirement that every singularity, spontaneously appearing during the iteration of a mapping, disappear after some steps. The second
Externí odkaz:
http://arxiv.org/abs/nlin/0104020
Publikováno v:
Journ. Phys. A 33, L287-L292 (2000)
We examine a family of discrete second-order systems which are integrable through reduction to a linear system. These systems were previously identified using the singularity confinement criterion. Here we analyse them using the more stringent criter
Externí odkaz:
http://arxiv.org/abs/nlin/0104015
Publikováno v:
SIDE III - Symmetry and Integrability of Difference Equations (Decio Levi and Orlando Ragnisco, eds.) (Conference held in Italy, 1998), CRM Proc. Lectures Notes, vol.25, Amer. Math. Soc., Providence, RI (2000), 255-261
A systematic study of the discrete second order projective system is presented, complemented by the integrability analysis of the associated multilinear mapping. Moreover, we show how we can obtain third order integrable equations as the coupling of
Externí odkaz:
http://arxiv.org/abs/nlin/0104018
Publikováno v:
Physics Letters A 270, 55-61 (2000)
We derive integrable discrete systems which are contiguity relations of two equations in the Painlev\'e-Gambier classification depending on some parameter. These studies extend earlier work where the contiguity relations for the six transcendental Pa
Externí odkaz:
http://arxiv.org/abs/nlin/0104019
Publikováno v:
SIDE III - Symmetry and Integrability of Difference Equations (Decio Levi and Orlando Ragnisco, eds.) (Conference held in Italy, 1998), CRM Proc. Lectures Notes, vol.25, Amer. Math. Soc., Providence, RI (2000), 367-379
We present a systematic study of the Gambier system, which in the continuous case is given by two Riccati equations in cascade. We derive the condition for its integrability and show that the generic Gambier system contains one free function. We also
Externí odkaz:
http://arxiv.org/abs/nlin/0104017
Publikováno v:
J.Phys.A33:6431-6446,2000
The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generalized Toda lattices on one hand, to periodic systems on the other. Boundary conditions are introduced
Externí odkaz:
http://arxiv.org/abs/nlin/0004023