Title :
Helmholtz-Manakov solitons
Author :
Christian, J.M. ; McDonald, G.S. ; Chamorro-Posada, P.
Author_Institution :
Inst. of Mater. Res., Salford Univ.
Abstract :
This paper reports the first Helmholtz generalizations of the Manakov equation and its soliton solutions, along with a thorough investigation of the dynamical properties of the new solutions. Well-tested numerical perturbative techniques are employed to demonstrate the role of Helmholtz-Manakov solitons as robust attractors (in a nonlinear dynamical sense). Rich dynamical behaviour are also summarised, including evolution characteristics associated with both fixed-point and limit-cycle attractors
Keywords :
nonlinear dynamical systems; optical solitons; perturbation theory; Helmholtz generalizations; Helmholtz-Manakov solitons; Manakov equation; fixed-point attractors; limit-cycle attractors; nonlinear dynamical behaviour; numerical perturbative techniques; robust attractors; soliton solutions; Electromagnetic scattering; Laboratories; Limit-cycles; Nonlinear equations; Physics computing; Planar waveguides; Robust stability; Solitons; Telecommunication computing; Telecommunication standards;
Conference_Titel :
Quantum Electronics Conference, 2005. EQEC '05. European
Conference_Location :
Munich
Print_ISBN :
0-7803-8973-5
DOI :
10.1109/EQEC.2005.1567219
