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Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs

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  • Djazet, Alain
  • Fewo, Serge I.
  • Djoko, Martin
  • Felenou, E. Tchomgo
  • Kofané, Timoléon C.

Abstract

Pulses propagating in inhomogeneous nonlinear media with linear/nonlinear gain and loss described by the vector (2+1)−dimensional cubic-quintic Ginzburg−−Landau equations (CQCGLEs) are considered. The evolution and the stability of the vector dissipative optical solitons generated from an elliptic input are studied. Based on the variational approach, we analyze the influence of various physical parameters on the dynamics of the propagating signal and its relevant parameters. Following a suitable choice of the test function, the stability analysis has been fulfilled by the analysis of the total energy. Numerical results have confirmed the analytical prediction of the collision on the stability of the vector dissipative solitons.

Suggested Citation

  • Djazet, Alain & Fewo, Serge I. & Djoko, Martin & Felenou, E. Tchomgo & Kofané, Timoléon C., 2023. "Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:chsofr:v:170:y:2023:i:c:s0960077923002916
    DOI: 10.1016/j.chaos.2023.113390
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    References listed on IDEAS

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    1. Otsobo, J.A. Ambassa & Megne, L. Tiam & Tabi, C.B. & Kofané, T.C., 2022. "Stability of nonparaxial gap-soliton bullets in waveguide gratings," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    2. Felenou, E. Tchomgo & Boutcheng, H. J. Ouandji & Tchokouansi, Hermann T. & Djazet, A. & Tchidjo, R. Tamwo, 2021. "Impact of nonlocality and quintic local nonlinearity on the pulses interaction and the dynamical characteristics parameters of soliton in weakly nonlinear nonlocal media," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    3. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
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    1. Bacha, Bakht Amin & Ahmad, Saeed & Ahmad, Rashid & Ahmad, Iftikhar, 2024. "Coherent manipulation of vectorial soliton beam in sodium like atomic medium," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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