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Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis

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Abstract

In this work, Kudryashov’s equation is studied with Lie symmetry analysis, which is implemented to describe the propagation pulses in an optical fiber. The equation is converted into system of ordinary differential equations with similarity transformations. These gave way to bright, dark and singular optical soliton solutions to the model.

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Funding

Support of CSIR Research Grant 09/1051(0028)/2018-EMR-I to one of the authors (S. Malik) for carrying out the research work is fully acknowledged. The research work of fourth author (QZ) was supported by the National Natural Science Foundation of China (Grant nos. 11705130 and 1157149); this author was also sponsored by the Chutian Scholar Program of Hubei Government in China. The research work of the seventh author (MRB) was supported by the grant NPRP 11S-1126-170033 from QNRF and he is thankful for it.

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Correspondence to A. Biswas.

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The text was submitted by the authors in English.

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Kumar, S., Malik, S., Biswas, A. et al. Optical Solitons with Kudryashov’s Equation by Lie Symmetry Analysis. Phys. Wave Phen. 28, 299–304 (2020). https://doi.org/10.3103/S1541308X20030127

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  • DOI: https://doi.org/10.3103/S1541308X20030127

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