Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. II. Saturable systems

Christian, JM, McDonald, GS, Lundie, MJ and Kotsampaseris, A 2018, 'Relativistic and pseudorelativistic formulation of nonlinear envelope equations with spatiotemporal dispersion. II. Saturable systems' , Physical Review A, 98 (5) , 053843.

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Abstract

We consider an envelope equation with space-time symmetry for describing scalar waves in systems with spatiotemporal dispersion and a generic saturable nonlinearity. Exact bright and gray solitons are derived by direct integration methods and coordinate transformations, with the results for cubic-quintic systems [see companion article— Phys. Rev. A 98, 053842 (2018)] recovered in the limit of weak saturation. Classic predictions from a nonlinear Schrödinger formulation of the propagation problem are shown to emerge asymptotically as subsets of the more general spatiotemporal solutions. The robustness of the new solitons against perturbations to the local pulse shape is then tested by deploying integral stability criteria, symmetry principles, and numerical analysis.

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 09:41
Last Modified: 20 Mar 2019 10:00
URI: http://usir.salford.ac.uk/id/eprint/50487

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