Journal
PHYSICAL REVIEW E
Volume 79, Issue 2, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.79.025602
Keywords
nonlinear differential equations; optical solitons; Schrodinger equation; space-time configurations
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Funding
- CAPES
- CNPQ
- PRONEX-CNPq-FAPESQ
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This work deals with soliton solutions of the nonlinear Schrodinger equation with cubic and quintic nonlinearities. We extend the procedure put forward in a recent paper [J. Belmonte-Beitia , Phys. Rev. Lett. 100, 164102 (2008)], and we solve the equation in the presence of a linear background and cubic and quintic interactions which are modulated in space and time. As a result, we show how a simple parameter can be used to generate brightlike or darklike localized nonlinear waves which oscillate in several distinct ways, driven by the space and time dependence of the parameters that control the trapping potential and the cubic and quintic nonlinearities.
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