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Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method

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Abstract

In this paper, we present a modified version of the potential-KdV equation by adding a new stochastic term. The new stochastic potential-KdV describes the propagation of nonlinear optical solitons and photons and appears in the applications of electric-circuits and multi-component plasmas. By using the Cole-Hopf transformation and Hirota bilinear method, we derive novel multi-solitons, lumps, and breather wave-solutions to the proposed model. Also, we provide some graphical analysis to study the impact of the model’s coefficients on the propagation of the recovery solutions. Finally, all the reported solutions in this work are checked by direct substitution in the governing equation.

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  1. Department of Mathematics & Statistics, Jordan University of Science & Technology, Irbid, 22110, Jordan

    Rahaf Alhami & Marwan Alquran

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  1. Rahaf Alhami
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  2. Marwan Alquran
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Correspondence to Marwan Alquran.

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Alhami, R., Alquran, M. Extracted different types of optical lumps and breathers to the new generalized stochastic potential-KdV equation via using the Cole-Hopf transformation and Hirota bilinear method. Opt Quant Electron 54, 553 (2022). https://doi.org/10.1007/s11082-022-03984-2

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