304 citations · 1k across the 38 of their papers we have counts for
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Spontaneous Symmetry Breaking in Photonic Lattices: Theory and Experiment
P. G. Kevrekidis, Zhigang Chen, B. A. Malomed +2
We examine an example of spontaneous symmetry breaking in a double-well waveguide with a symmetric potential. The ground state of the system beyond a critical power becomes asymmet…
On Some Classes of mKdV Periodic Solutions
P. G. Kevrekidis, Avinash Khare, A. Saxena +1
We obtain exact periodic solutions of the positive and negative modified Kortweg-de Vries (mKdV) equations. We examine the dynamical stability of these solitary wave lattices throu…
Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
P. G. Kevrekidis, Avinash Khare, A. Saxena
We generalize the approach first proposed by Manton [Nuc. Phys. B {\bf 150}, 397 (1979)] to compute solitary wave interactions in translationally invariant, dispersive equations th…
Asymptotic behavior of small solutions for the discrete nonlinear Schrödinger and Klein-Gordon equations
A. Stefanov, P. G. Kevrekidis
We show decay estimates for the propagator of the discrete Schrödinger and Klein-Gordon equations in the form $\norm{U(t)f}{l^\infty}\leq C (1+|t|)^{-d/3}\norm{f}{l^1}$. This impli…
Static and rotating domain-wall crosses in Bose-Einstein condensates
Boris A. Malomed, H. E. Nistazakis, D. J. Frantzeskakis +1
For a Bose-Einstein condensate (BEC) in a two-dimensional (2D) trap, we introduce cross patterns, which are generated by intersection of two domain walls (DWs) separating immiscibl…
Nonlinear Lattice Dynamics of Bose-Einstein Condensates
Mason A. Porter, R. Carretero-González, P. G. Kevrekidis +1
The Fermi-Pasta-Ulam (FPU) model, which was proposed 50 years ago to examine thermalization in non-metallic solids and develop ``experimental'' techniques for studying nonlinear pr…