70 citations · 184 across the 18 of their papers we have counts for
20 papers
Persistence of kinks in the NLS equation with competing nonlinearities
P. G. Kevrekidis, D. E. Pelinovsky
External potentials break the translational invariance of nonlinear Schrödinger (NLS) equations and generally convert a continuous family of standing wave solutions into isolated p…
Exponential Asymptotics for Dark Solitons of the Discrete NLS Model
C. J. Lustri, P. G. Kevrekidis, D. E. Pelinovsky
In the present work we revisit the problem of the dark solitary wave pinned in the discrete nonlinear Schr{ö}dinger equation. In a number of recent studies, the methodology of expo…
Orbital stability of kinks in the NLS equation with competing nonlinearities
Justin Holmer, Panayotis G. Kevrekidis, Dmitry E. Pelinovsky
Kinks connecting zero and nonzero equilibria in the NLS equation with competing nonlinearities occur at the special values of the frequency parameter. Since they are minimizers of…
On the ground state of the nonlinear Schr{ö}dinger equation: asymptotic behavior at the endpoint powers
Rémi Carles, Quentin Chauleur, Guillaume Ferriere +1
We consider the ground states of the nonlinear Schr{ö}dinger equation, which stand for radially symmetric and exponentially decaying solutions on the full space. We investigate the…
Stability of intrinsic localized modes on the lattice with competing power nonlinearities
Georgy L. Alfimov, Pavel A. Korchagin, Dmitry E. Pelinovsky
We study the discrete nonlinear Schrodinger equation with competing powers (p,q) satisfying 2 <= p < q. The physically relevant cases are given by (p,q) = (2,3), (p,q) = (3,4), and…
Stability of dark solitons in a bubble Bose-Einstein condensate
Raphael Wictky Sallatti, Lauro Tomio, Dmitry Pelinovsky +1
The stability of nonlinear waves on curved surfaces is a problem of widespread interest across physics. Here, we establish the stability criteria for dark solitons on a spherical B…