26 citations · 31 across the 7 of their papers we have counts for
9 papers
Asymptotic Calculation of Discrete Nonlinear Wave Interactions
P. G. Kevrekidis, Avinash Khare, A. Saxena +2
We illustrate how to compute asymptotic interactions between discrete solitary waves of dispersive equations, using the approach proposed by Manton [Nucl. Phys. B 150, 397 (1979)].…
Decoupling of the general scalar field mode and the solution space for Bianchi type I and V cosmologies coupled to perfect fluid sources
T. Christodoulakis, Th. Grammenos, Ch. Helias +2
The scalar field degree of freedom in Einstein's plus Matter field equations is decoupled for Bianchi type I and V general cosmological models. The source, apart from the minimally…
Equation-free dynamic renormalization in a glassy compaction model
L. Chen, I. G. Kevrekidis, P. G. Kevrekidis
Combining dynamic renormalization with equation-free computational tools, we study the apparently self-similar evolution of void distribution dynamics in the diffusion-deposition p…
Effective equations for discrete systems: A time stepper based approach
J. Moeller, O. Runborg, P. G. Kevrekidis +2
We propose a computer-assisted approach to studying the effective continuum behavior of spatially discrete evolution equations. The advantage of the approach is that the "coarse mo…
On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter
T. Christodoulakis, C. Helias, P. G. Kevrekidis +2
We examine the dynamical behavior of matter coupled to gravity in the context of a linear Klein-Gordon equation coupled to a Friedman-Robertson-Walker metric. The resulting ordinar…
Using the Continuous Spectrum to "Feel" Integrability: the Effect of Boundary Conditions
Panayotis G. Kevrekidis, Niurka R. Quintero
The scope of this work is to propose a method for testing the integrability of a model partial differential (PDE) and/or differential difference equation (DDE). For monoparametric…