Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media

Abstract

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schrödinger equation with varying second-, third-, and fourth-order dispersions, cubic nonlinearity, and linear gain or loss. We construct a new type of exact self-similar soliton solutions that takes the structure of dipole via a similarity transformation connected to the related constant-coefficients one. The conditions on the optical fiber parameters for the existence of these self-similar structures are also given. The results show that the contribution of all orders of dispersion is an important feature to form this kind of self-similar dipole pulse shape. The dynamic behaviors of the self-similar dipole solitons in a periodic distributed amplification system are analyzed. The significance of the obtained self-similar pulses is also discussed.

arXiv comment10 pages, 4 figures

References in corpus (4)

• Observation of discrete vortex solitons in optically-induced photonic lattices
• Pure-Quartic Solitons
• Solitary Waves in Optical Fibers Governed by Higher Order Dispersion
• Vortices and ring dark solitons in nonlinear amplifying waveguides

Cited by in corpus (5)

• Chirped periodic and solitary waves in nonlinear negative index materials
• Periodic and localized waves in parabolic-law media with third- and fourth-order dispersions
• Propagation of coupled quartic and dipole multi-solitons in optical fibers medium with higher-order dispersions
• Dipole and quadrupole nonparaxial solitary waves
• Propagation of periodic and solitary waves in a highly dispersive cubic-quintic medium with self-frequency shift and self-steepening nonlinearity