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Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain

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  • Abbagari, Souleymanou
  • Houwe, Alphonse
  • Akinyemi, Lanre
  • Saliou, Youssoufa
  • Bouetou, Thomas Bouetou

Abstract

In this paper, we considered a discrete coupled nonlinear Schrödinger equations (CNLSEs) which describes the propagation of solitonic waves in a gyrotropic molecular chain (GMC) of left and right circularly polarized intramolecular vibrations. From the linear analysis, we shown the forward and backward waves for left and right-handed modes. We underlined the effects of the gyrotropy term and effective mass (EM) on both modulation instability (MI) gain and modulated wave (MW) pattern. It reveals for strong enough values of these parameters that the generation of new sides lobes and MI bands. For numerical simulation, we shown out the propagation and interaction of the MW bright-soliton with high energy on the peak. It results from this investigation that gyrotropy term and EM behave as being energy sources in GMC. Finally, the reported outcomes can be used during the transfer of energy in molecular chain.

Suggested Citation

  • Abbagari, Souleymanou & Houwe, Alphonse & Akinyemi, Lanre & Saliou, Youssoufa & Bouetou, Thomas Bouetou, 2022. "Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    • Handle: RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004659
    DOI: 10.1016/j.chaos.2022.112255
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    1. Alphonse, Houwe & Djorwe, Philippe & Abbagari, Souleymanou & Doka, Serge Yamigno & Nana Engo, S.G., 2022. "Discrete solitons in nonlinear optomechanical array," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    2. Demetrios N. Christodoulides & Falk Lederer & Yaron Silberberg, 2003. "Discretizing light behaviour in linear and nonlinear waveguide lattices," Nature, Nature, vol. 424(6950), pages 817-823, August.
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    1. Zayed, Elsayed M.E. & Alngar, Mohamed E.M. & Shohib, Reham M.A. & Biswas, Anjan & Yıldırım, Yakup & Moraru, Luminita & Mereuta, Elena & Alshehri, Hashim M., 2022. "Embedded solitons with χ(2) and χ(3) nonlinear susceptibilities having multiplicative white noise via Itô Calculus," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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