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Construction of Lump and optical solitons solutions for (3 + 1) model for the propagation of nonlinear dispersive waves in inhomogeneous media

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Abstract

Our work aims to investigate new solutions for the (3 + 1)-dimensional Extended Date–Jimbo–Kashiwara–Miwa Equation which characterize the physical phenomena owing to the inhomogeneities of media. By using the Hirota—method with the aid of a quadratic test function, we derived a new Lump—soliton solution that localized in all directions in space and time. A class of 1-soliton solution and more-soliton solution are explored using the improved tanh–coth method and the improved tan–cot method. The sequel in these solutions demonstrate a valuation of physical phenomenon. Two, three-dimensional, contour and density plots are presented to illustrate the behaviors of the solitons.

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Authors and Affiliations

  1. Department of Basic Science, Faculty of Engineering at Benha, Benha University, 13512, Egypt, Benha University, Benha, Egypt

    Mohamed R. Ali

  2. Department of Mathematics, Zagazig Faculty of Engineering, Zagazig University, Zagazig, Egypt

    R. Sadat

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  1. Mohamed R. Ali
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  2. R. Sadat
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Correspondence to Mohamed R. Ali.

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Ali, M.R., Sadat, R. Construction of Lump and optical solitons solutions for (3 + 1) model for the propagation of nonlinear dispersive waves in inhomogeneous media. Opt Quant Electron 53, 279 (2021). https://doi.org/10.1007/s11082-021-02916-w

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