114 citations · 623 across the 40 of their papers we have counts for
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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…
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…