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Related Experiment Video

Updated: Jun 18, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Vector solitons in nonlinear lattices.

Yaroslav V Kartashov¹, Boris A Malomed, Victor A Vysloukh

¹1ICFO-Institut de Ciencies Fotoniques, and Universitat Politecnica de Catalunya, Mediterranean Technology Park,08860 Castelldefels (Barcelona), Spain. Yaroslav.Kartashov@icfo.es

|December 3, 2009

Summary

This summary is machine-generated.

Periodic modulation of nonlinear coefficients enables stable complex vector solitons. Unstable scalar solitons can be stabilized by coupling to a second component, forming novel multihump states.

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Generation and Coherent Control of Pulsed Quantum Frequency Combs

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Published on: June 8, 2018

Rapid Repetition Rate Fluctuation Measurement of Soliton Crystals in a Microresonator

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Published on: December 15, 2021

Area of Science:

Nonlinear optics
Soliton physics
Mathematical physics

Background:

Solitons are self-reinforcing wave packets.
Vector solitons involve multiple interacting components.
Periodic modulation can alter soliton properties.

Purpose of the Study:

To investigate the existence and stability of two-component solitons in a medium with periodically modulated nonlinearity.
To explore the formation of complex multihump vector states.
To determine if unstable scalar solitons can be stabilized through vectorial coupling.

Main Methods:

Theoretical analysis of nonlinear wave equations.
Numerical simulations of soliton dynamics.
Analysis of stability criteria for vector solitons.

Main Results:

Periodic modulation allows for the formation of complex multihump vector soliton states.
Stable vector solitons composed of dipole and fundamental or double-hump components were found.
Coupling unstable scalar solitons to a stable second component can lead to stable vectorial states.

Conclusions:

Periodic modulation of the nonlinear coefficient is a viable mechanism for creating and stabilizing complex vector solitons.
Vectorial interactions offer a pathway to stabilize otherwise unstable solitary wave solutions.
The findings expand the understanding of soliton dynamics in engineered nonlinear media.