550 research outputs found
Coupled Nonlinear Schr\"odinger System: Role of Four-Wave Mixing Effect on Nondegenerate Vector Solitons
In this paper, we investigate the role of four-wave mixing effect on the
structure of nondegenerate vector solitons and their collision dynamics. For
this purpose, we consider the generalized coupled nonlinear Schr\"odinger
(GCNLS) system which describes the evolution and nonlinear interaction of the
two optical modes. The fundamental as well as higher-order nondegenerate vector
soliton solutions are derived through the Hirota bilinear method and their
forms are rewritten in a compact way using Gram determinants. Very
interestingly, we find that the presence of four-wave mixing effect induces a
breathing vector soliton state in both the optical modes. Such breather
formation is not possible in the fundamental vector bright solitons of the
Manakov system. Then, for both strong and weak four-wave mixing effects, we
show that the nondegenerate solitons in the GCNLS system undergo, in general,
novel shape changing collisions, in addition to shape preserving collision
under suitable choice of wave numbers. Further, we analyze the degenerate
soliton collision induced novel shape changing property of nondegenerate vector
soliton by deriving the partially nondegenerate two-soliton solution. For
completeness, the various collision scenarios related to the pure degenerate
bright solitons are indicated. We believe that the results reported in this
paper will be useful in nonlinear optics for manipulating light by light
through collision.Comment: 23 pages, 15 figures, Submitted for publicatio
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