246 citations · 1.5k across the 42 of their papers we have counts for
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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…
Travelling solitons in the externally driven nonlinear Schrödinger equation
I. V. Barashenkov, E. V. Zemlyanaya
We consider the undamped nonlinear Schrödinger equation driven by a periodic external force. Classes of travelling solitons and multisoliton complexes are obtained by the numerical…
A refined empirical stability criterion for nonlinear Schroedinger solitons under spatiotemporal forcing
Franz G. Mertens, Niurka R. Quintero, I. V. Barashenkov +1
We investigate the dynamics of travelling oscillating solitons of the cubic NLS equation under an external spatiotemporal forcing of the form . For the cas…
Soliton complexity in the damped-driven nonlinear Schrödinger equation: stationary, periodic, quasiperiodic complexes
I. V. Barashenkov, E. V. Zemlyanaya
Stationary and oscillatory bound states, or complexes, of the damped-driven solitons are numerically path-followed in the parameter space. We compile a chart of the two-soliton att…
Time-periodic solitons in a damped-driven nonlinear Schrödinger equation
I. V. Barashenkov, E. V. Zemlyanaya, T. C. van Heerden
Time-periodic solitons of the parametrically driven damped nonlinear Schrödinger equation are obtained as solutions of the boundary-value problem on a two-dimensional spatiotempora…