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Nonlinear Dynamics

, Volume 89, Issue 3, pp 1745–1752 | Cite as

Stability of Gaussian-type light bullets in the cubic-quintic-septimal nonlinear media with different diffractions under \({\mathcal {PT}}\)-symmetric potentials

  • Hai-Ping Zhu
  • Zhen-Huan Pan
Original Paper

Abstract

From the governing equation \(-(3+1)\)-dimensional nonlinear Schrödinger equation with cubic-quintic-septimal nonlinearities, different diffractions and \({\mathcal {PT}}\)-symmetric potentials, we obtain two kinds of analytical Gaussian-type light bullet solutions. The septimal nonlinear term has a strong impact on the formation of light bullets. The eigenvalue method and direct numerical simulation to analytical solutions imply that stable and unstable evolution of light bullets against white noise attributes to the coaction of cubic-quintic-septimal nonlinearities, dispersion, different diffractions and \({\mathcal {PT}}\)-symmetric potential.

Keywords

Cubic-quintic-septimal nonlinearity Different diffractions \({\mathcal {PT}}\)-symmetric potential Light bullet Stability 

Notes

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 11375079).

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Copyright information

© Springer Science+Business Media Dordrecht 2017

Authors and Affiliations

  1. 1.College of EcologyLishui UniversityLishuiPeople’s Republic of China
  2. 2.College of Engineering and DesignLishui UniversityLishuiPeople’s Republic of China

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