Spatiotemporal soliton solutions in three dimensional combined linear-harmonic potentials with varying sources

We obtain spatiotemporal soliton solutions to the generalized nonlinear Schrödinger equation in three dimensional combined linear-harmonic potentials with varying sources by numerical and analytical methods. Three physically relevant examples, the trigonometric profile, Sinc profile, and Airy profil...

Full description

Saved in:
Bibliographic Details
Published inOptical and quantum electronics Vol. 56; no. 8
Main Authors Zhou, Huizhen, Wei, Chun, He, Jun-Rong, Deng, Wen-Wu, Hu, Zhenglong
Format Journal Article
LanguageEnglish
Published New York Springer US 23.07.2024
Springer Nature B.V
Subjects
Characterization and Evaluation of Materials
Computer Communication Networks
Diffraction
Electrical Engineering
Lasers
Optical Devices
Optics
Photonics
Physics
Physics and Astronomy
Schrodinger equation
Solitary waves
Three dimensional analysis
Spatiotemporal soliton solutions
Numerical calculations
Combined linear-harmonic potentials
Online AccessGet full text

Cover

More Information
Summary:We obtain spatiotemporal soliton solutions to the generalized nonlinear Schrödinger equation in three dimensional combined linear-harmonic potentials with varying sources by numerical and analytical methods. Three physically relevant examples, the trigonometric profile, Sinc profile, and Airy profile, are investigated to demonstrate the properties of spatiotemporal solutions for different functional forms of diffraction and potential strength. The results demonstrate that the structures of these spatiotemporal soliton solutions can be effectively manipulated by appropriately tuning the diffraction, potential strength, and source term. Numerical simulations demonstrate the stable propagation of solutions and their robustness against disturbances under the constraint condition.
ISSN:1572-817X
0306-8919
1572-817X
DOI:10.1007/s11082-024-07280-z