منابع مشابه
Stable 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 کاملMoving 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 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 کاملWhy Are Solitons Stable ?
The theory of linear dispersive equations predicts that waves should spread out and disperse over time. However, it is a remarkable phenomenon, observed both in theory and practice, that once nonlinear effects are taken into account, solitary wave or soliton solutions can be created, which can be stable enough to persist indefinitely. The construction of such solutions can be relatively straigh...
متن کاملToroidal Configurations as Stable Solitons
Previously we have proposed that in certain relativistic quantum field theories knotlike configurations may appear as stable solitons. Here we present a detailed investigation of the simplest knotted soliton, the torus-shaped unknot.
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.91.143903