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Stability analysis for moving dissipative solitons in two-dimensional dynamical model

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Abstract

Pulse propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the asymmetrical (2 + 1)-dimensional cubic-quintic Ginzburg-Landau equation is considered. The evolution and the stability of the dissipative optical solitons generated from an asymmetric input with respect to two transverse coordinates x and y are studied. Our approach is based on the variational method. This approach allows us to analyze the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters. According to the parameters of the system and a suitable choice of the test function, a domain of dissipative parameters for stable solitonic solutions is determined. Bifurcation diagrams related to the existence of the stationary solutions presented show a good agreement between analytical and numerical results.

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Authors and Affiliations

  1. Laboratory of Mechanics, Materials and Structure, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    Alain Djazet, Serge I. Fewo & Timoléon C. Kofané

  2. Centre d’Excellence Africain en Technologies de l’Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon

    Alain Djazet & Timoléon C. Kofané

  3. Research Innovation Entrepreneurship Pole, University Institute of the Coast, P.O. Box 3001, Douala, Cameroon

    Elvis B. Ngompé Nkouankam

Authors
  1. Alain Djazet
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  2. Serge I. Fewo
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  3. Elvis B. Ngompé Nkouankam
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  4. Timoléon C. Kofané
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Contributions

Alain Djazet performed the calculs, elaborated the numerical code and drafted the manuscript. Serge I. Fewo designed the study, participated in the elaboration of the numerical code, the writing and editing of the paper. Elvis B. Ngompé Nkouankam helped in the calculs and writing the manuscript. Timoléon C. Kofané supervised the whole study. All authors read the manuscript.

Corresponding author

Correspondence to Serge I. Fewo.

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Djazet, A., Fewo, S.I., Ngompé Nkouankam, E.B. et al. Stability analysis for moving dissipative solitons in two-dimensional dynamical model. Eur. Phys. J. D 74, 67 (2020). https://doi.org/10.1140/epjd/e2020-100467-7

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  • DOI: https://doi.org/10.1140/epjd/e2020-100467-7

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