32 citations · 48 across the 2 of their papers we have counts for
2 papers
nlin.PS2013★ 32 cited
Nonlinear modes in a generalized -symmetric discrete nonlinear Schrödinger equation
Dmitry E. Pelinovsky, Dmitry A. Zezyulin, Vladimir V. Konotop
We generalize a finite parity-time (-) symmetric network of the discrete nonlinear Schrödinger type and obtain general results on linear stability of the zero equilibriu…
math-ph2013★ 16 cited
Universal power law for the energy spectrum of breaking Riemann waves
Dmitry Pelinovsky, Efim Pelinovsky, Elena Kartashova +2
The universal power law for the spectrum of one-dimensional breaking Riemann waves is justified for the simple wave equation. The spectrum of spatial amplitudes at the breaking tim…