Helmholtz-Manakov solitons

Christian, JM ORCID: https://orcid.org/0000-0003-2742-0569, McDonald, GS ORCID: https://orcid.org/0000-0002-1304-5182 and Chamorro-Posada, P 2006, 'Helmholtz-Manakov solitons' , Physical Review E, 74 (6) , 066612.

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A novel spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (H-M) equation, for describing the evolution of broad multi-component self-trapped beams in Kerr-type media. By omitting the slowly-varying envelope approximation, the H-M equation can describe accurately vector solitons propagating and interacting at arbitrarily large angles with respect to the reference direction. The H-M equation is solved using Hirota’s method, yielding four new classes of Helmholtz soliton that are vector generalizations of their scalar counterparts. General and particular forms of the three invariants of the H-M system are also reported.

Item Type: Article
Themes: Subjects / Themes > Q Science > QC Physics
Subjects outside of the University Themes
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre
Journal or Publication Title: Physical Review E
Publisher: American Physical Society
Refereed: Yes
ISSN: 1539-3755
Related URLs:
Depositing User: H Kenna
Date Deposited: 22 Aug 2007 11:40
Last Modified: 15 Feb 2022 15:13
URI: https://usir.salford.ac.uk/id/eprint/298

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