Related Experiment Video
Updated: Jun 23, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Solitons with cubic and quintic nonlinearities modulated in space and time
A T Avelar1, D Bazeia, W B Cardoso
1Instituto de Física, Universidade Federal de Goiás, 74.001-970, Goiânia Goiás, Brazil.
Abstract:
This work deals with soliton solutions of the nonlinear Schrödinger equation with cubic and quintic nonlinearities. We extend the procedure put forward in a recent paper [J. Belmonte-Beitia, Phys. Rev. Lett. 100, 164102 (2008)], and we solve the equation in the presence of a linear background and cubic and quintic interactions which are modulated in space and time. As a result, we show how a simple parameter can be used to generate brightlike or darklike localized nonlinear waves which oscillate in several distinct ways, driven by the space and time dependence of the parameters that control the trapping potential and the cubic and quintic nonlinearities.
Related Concept Videos
Quadratic Equations in the Complex Number System
Standing Waves in a Cavity
Space-Time Curvature and the General Theory of Relativity
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of motion,...
Limits with Oscillating Discontinuities
Quadratic Models
Dimensionless Groups in Fluid Mechanics

