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Dynamics of optical and multiple lump solutions to the fractional coupled nonlinear Schrödinger equation

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Abstract

In this present study, the modified generalized exponential rational function method (mGERFM) and the Hirota bilinear method (HBM) are implemented to secure optical and lump solutions to the fractional coupled nonlinear Schrödinger equations (FCNSE). These problems are an appealing model to describe the modes in nonlinear optics and Bose-Einstein condensation. Numerous novel soliton solutions are computed in distinct formats such as periodic, exponential, dark and combo singular bright. In addition, we also evaluate multi waves, periodic cross-kink, rational, and interaction solutions along with rational, trigonometric, and various bilinear functions. The novel feature of this study is the acquired solutions, which were not before constructed and signify a good balance between the nonlinear physical components. The dynamical property of the retrieve solutions is also depicted through some distinct graphs in 2-, 3-dimensional. The constructed outcomes are auspicious, which present that the stated methods are categorical, robust, and efficient in finding exact solutions to diverse complex nonlinear problems arising in the recent era of nonlinear optics, applied sciences and engineering.

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  1. Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat, 50700, Pakistan

    Shafqat Ur-Rehman & Jamshad Ahmad

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  1. Shafqat Ur-Rehman
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Ur-Rehman, S., Ahmad, J. Dynamics of optical and multiple lump solutions to the fractional coupled nonlinear Schrödinger equation. Opt Quant Electron 54, 640 (2022). https://doi.org/10.1007/s11082-022-03961-9

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