Periodic and localized waves in parabolic-law media with third- and fourth-order dispersions
arXiv:2204.04803 · doi:10.1103/PhysRevE.106.044214
Abstract
We study the propagation of femtosecond light pulses inside an optical fiber medium exhibiting higher-order dispersion and cubic-quintic nonlinearities. Pulse evolution in such system is governed by a higher-order nonlinear Schr% ödinger equation incorporating second-, third-, and fourth-order dispersions as well as cubic and quintic nonlinearities. Novel classes of periodic wave solutions are identified for the first time by means of an appropriate equation method. Results presented indicated the potentially rich set of periodic waves in the system under the combined influence of higher-order dispersive effects and cubic-quintic nonlinearity. Solitary waves of both bright and dark types are also obtained as a limiting case for appropriate periodic solutions. It is found that the velocity of these structures is uniquely dependent on all orders of dispersion. Conditions on the optical fiber parameters for the existence of these stable nonlinear wave-forms are presented as well.
arXiv comment10 pages, 3 figures
References in corpus (13)
- Pure-Quartic Solitons
- Higher-order Kerr terms allow ionization-free filamentation in gases
- Adiabatic dynamics of periodic waves in Bose-Einstein condensate with time dependent atomic scattering length
- Modulation instability in nonlinear metamaterials induced by cubic-quintic nonlinearities and higher order dispersive effects
- Superfilamentation in air
- Higher-Order Nonlinear Schrodinger equation with derivative non-Kerr nonlinear terms: A model for sub-10fs pulse propagation
- Solitary Waves in Optical Fibers Governed by Higher Order Dispersion
- Propagation of dipole solitons in inhomogeneous highly dispersive optical fiber media
- Exact soliton solutions of the one-dimensional complex Swift-Hohenberg equation
- Periodic waves in bimodal optical fibers
- From higher-order Kerr nonlinearities to quantitative modeling of 3rd and 5th harmonic generation in argon
- Higher-order Kerr effect and harmonic cascading in gases
- Chirped periodic and solitary waves in nonlinear negative index materials