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Solitary wave characteristics in nonlinear dispersive media: a conformable fractional derivative approach

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Abstract

A novel class of traveling wave solutions for the Hirota–Schrödinger (HS) equation and the nonlinear Schrödinger equation (NLSE) with quadratic–cubic nonlinearity (QCN) has been obtained using conformable fractional space and time derivatives. The obtained solutions show interesting dispersive corrections to the propagating waves. Different fractional powers show phase shifting, singularity and a flattening of the propagating pulse. The bright one-soliton and singular soliton solutions for the NLSE with QCN have also been discussed. The present findings are likely to have significant relevance in the propagation of optical pulses in a highly nonlinear dispersive media.

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The authors wish to thank the anonymous referees for their constructive comments which have led to an improvement of the manuscript.

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  1. Department of Physics, Diamond Harbour Women’s University, D. H. Road, Sarisha, West Bengal, 743368, India

    Shreya Mitra, Sujoy Poddar, A. Ghose-Choudhury & Sudip Garai

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  1. Shreya Mitra
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Shreya Mitra, Sujoy Poddar, A. Ghose-Choudhury, Sudip Garai have contributed equally to this work.

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Mitra, S., Poddar, S., Ghose-Choudhury, A. et al. Solitary wave characteristics in nonlinear dispersive media: a conformable fractional derivative approach. Nonlinear Dyn 110, 1777–1788 (2022). https://doi.org/10.1007/s11071-022-07719-6

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