Modulation instability gain and discrete soliton interaction in gyrotropic molecular chain

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

Chaos, Solitons & Fractals, 2022, vol. 160, issue C

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.

Keywords: CNLSEs; Modulation instability; Solitons; Gyrotropic molecular chain; Numerical simulation (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:160:y:2022:i:c:s0960077922004659

DOI: 10.1016/j.chaos.2022.112255

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