Christian, JM, McDonald, GS 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.
|Uncontrolled Keywords:||Optical solitons, optical Kerr effect|
|Themes:||Subjects / Themes > Q Science > QC Physics
Subjects outside of the University Themes
|Schools:||Schools > School of Computing, Science and Engineering
Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
|Journal or Publication Title:||Physical Review E|
|Publisher:||American Physical Society|
|Depositing User:||H Kenna|
|Date Deposited:||22 Aug 2007 11:40|
|Last Modified:||01 Dec 2015 00:00|
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