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nlin.PS2004★ 3 cited
Stabilization mechanism for two-dimensional solitons in nonlinear parametric resonance
N. V. Alexeeva
We consider a simple model system supporting stable solitons in two dimensions. The system is the parametrically driven damped nonlinear Schrödinger equation, and the soliton stabi…
nlin.PS2004
Nodal two-dimensional solitons in nonlinear parametric resonance
N. V. Alexeeva, E. V. Zemlyanaya
The parametrically driven damped nonlinear Schrödinger equation serves as an amplitude equation for a variety of resonantly forced oscillatory systems on the plane. In this note, w…