170 citations · 421 across the 26 of their papers we have counts for
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Broad Band Solitons in a Periodic and Nonlinear Maxwell System
Dmitry Pelinovsky, Gideon Simpson, Michael I. Weinstein
We consider the one-dimensional Maxwell equations with low contrast periodic linear refractive index and weak Kerr nonlinearity. In this context, wave packet initial conditions wit…
Normal form for the symmetry-breaking bifurcation in the nonlinear Schrodinger equation
Dmitry Pelinovsky, Tuoc Phan
We derive and justify a normal form reduction of the nonlinear Schrodinger equation for a general pitchfork bifurcation of the symmetric bound state that occurs in a double-well sy…
Breather continuation from infinity in nonlinear oscillator chains
Guillaume James, Dmitry Pelinovsky
Existence of large-amplitude time-periodic breathers localized near a single site is proved for the discrete Klein--Gordon equation, in the case when the derivative of the on-site…
Variational Approximations of Bifurcations of Asymmetric Solitons in Cubic-Quintic Nonlinear Schroedinger Lattices
C. Chong, D. E. Pelinovsky
Using a variational approximation we study discrete solitons of a nonlinear Schroedinger lattice with a cubic-quintic nonlinearity. Using an ansatz with six parameters we are able…
Asymptotic stability of small solitons in the discrete nonlinear Schrodinger equation in one dimension
P. G. Kevrekidis, D. E. Pelinovsky, A. Stefanov
Asymptotic stability of small solitons in one dimension is proved in the framework of a discrete nonlinear Schrodinger equation with septic and higher power-law nonlinearities and…
Surface gap solitons at a nonlinearity interface
Tomas Dohnal, Dmitry Pelinovsky
We demonstrate existence of waves localized at the interface of two nonlinear periodic media with different coefficients of the cubic nonlinearity via the one-dimensional Gross--Pi…