253 citations · 3.1k across the 151 of their papers we have counts for
168 papers
On the transverse stability of smooth solitary waves in a two-dimensional Camassa-Holm equation
Anna Geyer, Yue Liu, Dmitry E. Pelinovsky
We consider the propagation of smooth solitary waves in a two-dimensional generalization of the Camassa--Holm equation. We show that transverse perturbations to one-dimensional sol…
Dynamics of the black soliton in a regularized nonlinear Schrodinger equation
Dmitry E. Pelinovsky, Michael Plum
We consider a family of regularized defocusing nonlinear Schrodinger (NLS) equations proposed in the context of the cubic NLS equation with a bounded dispersion relation. The time…
Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media
Tomas Dohnal, Dmitry E. Pelinovsky, Guido Schneider
Traveling modulating pulse solutions consist of a small amplitude pulse-like envelope moving with a constant speed and modulating a harmonic carrier wave. Such solutions can be app…
Rogue waves arising on the standing periodic waves in the Ablowitz-Ladik equation
Jinbing Chen, Dmitry E. Pelinovsky
We study the standing periodic waves in the semi-discrete integrable system modelled by the Ablowitz-Ladik equation. We have related the stability spectrum to the Lax spectrum by s…
Ground state of the Gross-Pitaevskii equation with a harmonic potential in the energy-critical case
Dmitry E. Pelinovsky, Szymon Sobieszek
Ground state of the energy-critical Gross-Pitaevskii equation with a harmonic potential can be constructed variationally. It exists in a finite interval of the eigenvalue parameter…
Pinning in the extended Lugiato-Lefever equation
Lukas Bengel, Dmitry Pelinovsky, Wolfgang Reichel
We consider a variant of the Lugiato-Lefever equation (LLE), which is a nonlinear Schrödinger equation on a one-dimensional torus with forcing and damping, to which we add a first-…