Magnetic monopoles and Q-balls are examples of topological nontopological solitons, respectively. A new soliton state with both charges is shown to also exist, given a monopole sector portal coupling an additional scalar field $S$ global $U(1)$ symmetry. This state, the Q-monopole-ball, more stable than isolated Q-ball made only particles, it could be against fissioning into free particles. Sta...

Hopf solitons in the Skyrme-Faddeev model — S 2-valued fields on R 3 with Skyrme dynamics — are string-like topological solitons. In this Letter, we investigate the analogous lattice objects, for S 2-valued fields on the cubic lattice Z 3 with a nearest-neighbour interaction. For suitable choices of the interaction, topological solitons exist on the lattice. Their appearance is remarkably simil...

The dynamics of a soliton propagating in a single mode optical fiber with Raman coupling to thermal phonons is analyzed. Using both soliton perturbation theory, and exact numerical techniques, we predict that intrinsic thermal quantum noise effects due to the phonon reservoirs is a dominant source of jitter and other perturbations for short pulses (∼ 1ps). The size of the Raman timing jitter is...

We study the domain wall soliton solutions in the relativistic self-dual Maxwell Chern-Simons model in 1+1 dimensions obtained by the dimensional reduction of the 2 + 1 model. Both topological and nontopological self-dual solutions are found in this case. A la BPS dyons here the Bogomol’ny bound on the energy is expressed in terms of two conserved quantities. We discuss the underlying supersymm...

We demonstrate self-trapping of singly-charged vortices at the surface of an optically induced two-dimensional photonic lattice. Under appropriate conditions of self-focusing nonlinearity, a singly-charged vortex beam can self-trap into a stable semi-infinite gap surface vortex soliton through a four-site excitation. However, a single-site excitation leads to a quasi-localized state in the firs...

An overview of recent results in the field of vortex (spinning) solitons and soliton complexes composed of several fundamental (nonspinning) solitons in twoand three-dimensional optical media with competing nonlinearities is presented. It is concluded that multidimensional solitons with intrinsic topological charge are stable provided that their internal size and power (energy) are large enough...

Abstract Lorentz-invariant scalar field theories in d+1 dimensions with second-order derivative terms are unable to support static soliton solutions that are both finite in energy and stable for d > 2, a result known as Derrick’s theorem. Lifshitz theories, which introduce higher-order spatial derivatives, need not obey Derrick’s theorem. We construct stable, finite-energy, static soliton solut...

We show that the chiral soliton model recently introduced by Aglietti et al. can be made integrable by adding an attractive potential with a fixed coefficient. The modified model is equivalent to the derivative nonlinear Schrödinger model which does not possess parity and Galilean invariance. We obtain explicit one and two classical soliton solutions and show that in the weak coupling limit, th...

In this paper, we present exact N-soliton solution by employing simple, straightforward Darboux transformation based on the Lax pair for Hirota equation, a higher-order nonlinear Schr€ odinger (HNLS) equation. As examples, oneand two-soliton solutions in explicit forms are given and their properties are also analyzed. A bound solution without interaction will be theoretically predicted if one c...