170 citations · 173 across the 5 of their papers we have counts for
5 papers
Instabilities of multi-hump vector solitons in coupled nonlinear Schroedinger equations
Dmitry Pelinovsky, Jianke Yang
Spectral stability of multi-hump vector solitons in the Hamiltonian system of coupled nonlinear Schrödinger (NLS) equations is investigated both analytically and numerically. Using…
Spatial vector solitons in nonlinear photonic crystal fibers
Jose R. Salgueiro, Yuri S. Kivshar, Dmitry E. Pelinovsky +2
We study spatial vector solitons in a photonic crystal fiber (PCF) made of a material with the focusing Kerr nonlinearity. We show that such two-component localized nonlinear waves…
Nonlinear Schrödinger lattices II: Persistence and Stability of Discrete Vortices
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We study discrete vortices in the anti-continuum limit of the discrete two-dimensional nonlinear Schr{ö}dinger (NLS) equations. The discrete vortices in the anti-continuum limit re…
Nonlinear Schrödinger lattices I: Stability of discrete solitons
D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis
We consider the discrete solitons bifurcating from the anti-continuum limit of the discrete nonlinear Schrödinger (NLS) lattice. The discrete soliton in the anti-continuum limit re…
Bifurcations and stability of gap solitons in periodic potentials
Dmitry E. Pelinovsky, Andrey A. Sukhorukov, Yuri S. Kivshar
We analyze the existence, stability, and internal modes of gap solitons in nonlinear periodic systems described by the nonlinear Schrodinger equation with a sinusoidal potential, s…