## 297 Citations

Infinitely many solutions for a class of stationary Schrödinger equations with non-standard growth

- Mathematics
- 2018

In this paper, we study the existence of infinitely many solutions for a class of stationary Schrödinger type equations in involving the p(x)-Laplacian. The non-linearity is superlinear but does not…

Interaction and steering of nematicons

- Physics
- 2010

The waveguiding effect of spatial solitary waves in nonlinear optical media has been suggested as a potential basis for future all-optical devices, such as optical interconnects. It has been shown…

Numerical variational approach for vortex solitons in nonlinear Schrödinger equation

- Physics2019 IEEE 39th Central America and Panama Convention (CONCAPAN XXXIX)
- 2019

We study the generation and dynamics of asymmetric vortex solitons in nonlocal media described with an additional parameter that models the degree of azimuthal asymmetry. The main properties of…

Solitary waves in focussing and defocussing nonlinear, nonlocal optical media

- Physics
- 2016

Nonlinear, nonlocal optical media has emerged as an ideal setting for experimentally observing and studying spatial optical solitary waves which otherwise cannot occur in Kerr media. Of particular…

The existence and stability of solitons in discrete nonlinear Schrödinger equations

- Mathematics
- 2012

In this thesis, we investigate analytically and numerically the existence and stability of discrete solitons governed by discrete nonlinear Schrodinger (DNLS) equations with two types of…

Interactions of Self-Localised Optical Wavepackets in Reorientational Soft Matter

- PhysicsApplied Sciences
- 2022

The interaction of optical solitary waves in nematic liquid crystals, nematicons and vortices, with other nematicons and localised structures, such as refractive index changes, is reviewed. Such…

Breather stripes and radial breathers of the two-dimensional sine-Gordon equation

- PhysicsCommun. Nonlinear Sci. Numer. Simul.
- 2021

## References

SHOWING 1-10 OF 216 REFERENCES

Stable (2+1)-dimensional solitons in a layered medium with sign-alternating Kerr nonlinearity

- Physics
- 2002

Transverse beam propagation is considered in a layered structure in which Kerr nonlinearity alternates between self-focusing and self-defocusing, which makes it possible to prevent collapse. A…

Disintegration of a soliton in a dispersion-managed optical communication line with random parameters.

- PhysicsOptics letters
- 2000

It is observed that the stability of the soliton propagation is affected more by modulations of the dispersion magnitudes of the spans than by modulated lengths of the span lengths.

Dynamics of quasicollapse in nonlinear Schrodinger systems with nonlocal interactions

- Physics, MathematicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

Evidence is presented in support of the hypothesis that nonlocal attractively interacting condensates cannot collapse under very general forms of the interaction, and there appear oscillations of the wave packet with a localized component whose size is of the order of the range of interactions.

Instabilities of dispersion-managed solitons in the normal dispersion regime

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

Dispersion-managed solitons are reviewed within a Gaussian variational approximation and an integral evolution model and it is shown that the short soliton with a larger energy is linearly (exponentially) unstable and hits a resonance with excitations of the dispersion map.

Nonlinear Science at the Dawn of the 21st Century

- Physics
- 2000

Nonlinear Science.- Nonlinear Coherent Phenomena in Continuous Media.- Perturbation Theories for Nonlinear Waves.- Josephson Devices.- Josephson Flux-Flow Oscillators in Microwave Fields.- Coupled…

Propagation of an optical pulse in a fiber link with random-dispersion management

- Physics
- 2000

A model of a long optical communication line consisting of alternating segments with anomalous and normal dispersion, whose lengths are picked randomly from a certain interval, is considered. As the…

Self-guiding light in layered nonlinear media.

- PhysicsOptics letters
- 2000

With appropriate shapes, beams with a power close to the self-focusing threshold are shown to propagate over long distances as quasi-stationary waveguides in cubic media supporting a periodic nonlinear refractive index.

Soliton formation from a pulse passing the zero-dispersion point in a nonlinear Schrodinger equation

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

It is found that any kind of soliton(s) (including the breather and counterpropagating pair) eventually decays into pure radiation with an increase of energy, the initial "mass" being kept constant.