17 citations · 19 across the 4 of their papers we have counts for
4 papers
Stability of cnoidal waves in the parametrically driven nonlinear Schrödinger equation
I. V. Barashenkov, M. A. Molchan
The parametrically driven, damped nonlinear Schrödinger equation has two cn- and two dn-wave solutions. We show that one pair of the cn and dn solutions is unstable for any combina…
Modulational instability and nonlocality management in coupled NLS system
Evgeny V. Doktorov, Maxim A. Molchan
The modulational instability of two interacting waves in a nonlocal Kerr-type medium is considered analytically and numerically. For a generic choice of wave amplitudes, we give a…
Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
Maxim A. Molchan
On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and…
Modulational instability in nonlocal Kerr-type media with random parameters
E. V. Doktorov, M. A. Molchan
Modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is st…