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Investigation of optical solitons and modulation instability analysis to the Kundu–Mukherjee–Naskar model

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Abstract

The novel Φ6-model expansion method is employed to the Kundu–Mukherjee–Naskar model of the nonlinear partial differential equation that plays a significant role in optical fiber. A variety of nonlinear dynamical exact and optical solitons are extracted in several forms like rational, hyperbolic, trigonometric function solutions by the utilization of a sound computational integration tool. Besides, we also secure mixed combined solitons and singular periodic wave solutions with unknown parameters. For the validation of the solutions constraint conditions are also emerged. The outcomes elucidate that the governing model theoretically possesses significantly rich structures of optical solutions. We also present the modulation instability analysis of the governing model. Moreover, under the suitable choice of involved parameters 3-D, 2-D, and their corresponding contour plots are also sketched.

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

    Muhammad Bilal,  Shafqat-Ur-Rehman & Jamshad Ahmad

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  1. Muhammad Bilal
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  2. Shafqat-Ur-Rehman
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  3. Jamshad Ahmad
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Correspondence to Jamshad Ahmad.

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Bilal, M., Shafqat-Ur-Rehman & Ahmad, J. Investigation of optical solitons and modulation instability analysis to the Kundu–Mukherjee–Naskar model. Opt Quant Electron 53, 283 (2021). https://doi.org/10.1007/s11082-021-02939-3

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