Stabilization Mechanism for Two-Dimensional Solitons in Nonlinear Parametric Resonance
نویسندگان
چکیده
منابع مشابه
Stabilization mechanism for two-dimensional solitons in nonlinear parametric resonance
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 stabilises for sufficiently strong damping. The purpose of this note is to elucidate the stabilisation mechanism; we do this by reducing the partial differential equation to a finite-dimensional dynamical system. Our concl...
متن کاملNodal Two-Dimensional Solitons in Nonlinear Parametric Resonance
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, we consider its nodal soliton solutions. We show that although the nodal solitons are stable against radially-symmetric perturbations for sufficiently large damping coefficients, they are always unstable to azimuthal p...
متن کاملParametric solitons in two-dimensional lattices of purely nonlinear origin.
We demonstrate spatial solitons via twin-beam second-harmonic generation in hexagonal lattices realized by poling lithium niobate planar waveguides. These simultons can be steered by acting on power, direction, and wavelength of the fundamental frequency input.
متن کاملTwo-dimensional solitons in nonlinear lattices.
We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into a linear material. We show that such lattices can stabilize two-dimensional solitons against collapse. We also found that stable multipoles and vortex solit...
متن کاملTwo-dimensional multipole solitons in nonlocal nonlinear media.
We present the experimental observation of scalar multipole solitons in highly nonlocal nonlinear media, including dipole, tripole, quadrupole, and necklace-type solitons, organized as arrays of out-of-phase bright spots. These complex solitons are metastable, but with a large parameters range where the instability is weak, permitting their experimental observation.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Theoretical and Mathematical Physics
سال: 2005
ISSN: 0040-5779,1573-9333
DOI: 10.1007/s11232-005-0137-3