منابع مشابه
Moving embedded solitons
The first theoretical results are reported predicting moving solitons residing inside (embedded into) the continuous spectrum of radiation modes. The model taken is a Bragggrating medium with Kerr nonlinearity and additional second-derivative (wave) terms. The moving embedded solitons (ESs) are doubly isolated (of codimension two), but, nevertheless, structurally stable. Like quiescent ESs, mov...
متن کاملStable embedded solitons.
Stable embedded solitons are discovered in the generalized third-order nonlinear Schrödinger equation. When this equation can be reduced to a perturbed complex modified Korteweg-de Vries equation, we developed a soliton perturbation theory which shows that a continuous family of sech-shaped embedded solitons exist and are nonlinearly stable. These analytical results are confirmed by our numeric...
متن کاملDiscrete Embedded Solitons
We address the existence and properties of discrete embedded solitons (ESs), that is localized waves existing inside the phonon band in a nonlinear dynamical-lattice model. The model describes a one-dimensional array of optical waveguides with both χ (second-harmonic generation) and χ (Kerr) nonlinearities, for which a rich family of ESs are known to occur in the continuum limit. First, a simpl...
متن کاملElongation of Moving Noncommutative Solitons
We discuss the characteristic properties of noncommutative solitons moving with constant velocity. As noncommutativity breaks the Lorentz symmetry, the shape of moving solitons is affected not just by the Lorentz contraction along the velocity direction, but also sometimes by additional ‘elongation’ transverse to the velocity direction. We explore this in two examples: noncommutative solitons i...
متن کاملMoving gap solitons in periodic potentials
We address existence of moving gap solitons (traveling localized solutions) in the Gross-Pitaevskii equation with a small periodic potential. Moving gap solitons are approximated by the explicit localized solutions of the coupled-mode system. We show however that exponentially decaying traveling solutions of the Gross-Pitaevskii equation do not generally exist in the presence of a periodic pote...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1999
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/32/50/103