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Analytical stable Gaussian soliton supported by a parity-time symmetric potential with power-law nonlinearity

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Abstract

We address the existence and stability of spatial localized modes supported by a parity-time symmetric complex potential in the presence of power-law nonlinearity. The analytical expressions of the localized modes, which are Gaussian in nature, are obtained in both (1 + 1) and (2 + 1) dimensions. A linear stability analysis corroborated by the direct numerical simulations reveals that these analytical localized modes can propagate stably for a wide range of the potential parameters and for various order nonlinearities. Some dynamical characteristics of these solutions, such as the power and the transverse power-flow density, are also examined.

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Acknowledgments

The author thanks Prof. Rajkumar Roychoudhury for discussions. He also acknowledges the postdoctoral grant from the Belgian Federal Science Policy Office co-funded by the Marie-Curie Actions (FP7) from the European Commission.

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  1. Physique Nucleare et Physique Quantique, Universite Libre de Bruxelles, Brussels, Belgium

    Bikashkali Midya

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  1. Bikashkali Midya
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Correspondence to Bikashkali Midya.

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Midya, B. Analytical stable Gaussian soliton supported by a parity-time symmetric potential with power-law nonlinearity. Nonlinear Dyn 79, 409–415 (2015). https://doi.org/10.1007/s11071-014-1674-9

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