Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. I. Cubic-quintic systems

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, McDonald, GS and Kotsampaseris, A 2018, 'Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. I. Cubic-quintic systems' , Physical Review A, 98 (5) , 053823.

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Abstract

A generic envelope equation is proposed for describing the evolution of scalar pulses in systems with spatiotemporal dispersion and cubic-quintic nonlinearity. Our analysis has application, for instance, in waveguide optics where the physical origin of the dielectric response lies in the χ(3) and χ(5) susceptibilities. Exact analytical bright and gray solitons are derived by coordinate transformations and methods of direct integration. Known solitons of conventional pulse theory (based on nonlinear-Schrödinger prescriptions) are shown to emerge asymptotically as subsets of the more general spatiotemporal solutions, and simulations test the stability of the latter through a class of perturbed initial-value problem.

Item Type: Article
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Physical Review A
Publisher: American Physical Society
ISSN: 2469-9926
Related URLs:
Depositing User: JM Christian
Date Deposited: 20 Mar 2019 09:39
Last Modified: 14 Jul 2020 14:46
URI: http://usir.salford.ac.uk/id/eprint/50486

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