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Modulation of localized solutions in an inhomogeneous saturable nonlinear Schrödinger equation

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Abstract

In this paper we study the modulation of localized solutions by an inhomogeneous saturable nonlinear medium. Throughout an appropriate ansatz we convert the inhomogeneous saturable nonlinear Schrödinger equation in a homogeneous one. Then, via a variational approach we construct localized solutions of the autonomous equation and we present some modulation patterns of this localized structures. We have checked the stability of such solutions through numerically simulations.

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Acknowledgements

We thank the CNPq (Grant #458889/2014-8), FAPEG, and Instituto Nacional de Ciência e Tecnologia de Informação Quântica (INCT-IQ), Brazilian agencies, for the partial support.

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Correspondence to Wesley B. Cardoso.

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Calaça, L., Cardoso, W.B. Modulation of localized solutions in an inhomogeneous saturable nonlinear Schrödinger equation. Opt Quant Electron 49, 379 (2017). https://doi.org/10.1007/s11082-017-1214-1

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  • DOI: https://doi.org/10.1007/s11082-017-1214-1

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