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Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation

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Abstract

Solutions of the space–time fractional order non-linear Schrödinger equation and nonlinear Klein Gordon equation have been found here using fractional sub-equation method and improved fractional sub-equation method. All solutions obtained are exact solutions. Graphical presentations of those solutions have been done.

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Acknowledgements

The author Md Ramjan Ali would like to thank Department of Science and Technology, Government of India, New Delhi, for the financial assistance under AORC, Inspire Fellowship Scheme towards this research work. The authors are thankful to all the reviewers for giving valuable comments to enrich the work.

Funding

Funding was provided by Department of Science and Technology, Ministry of Science and Technology, C/4932/IFD/2016-17 dated 12/29/2016.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Calcutta, Kolkata, India

    Md Ramjan Ali, Uttam Ghosh & Susmita Sarkar

  2. Reactor Control Systems Design Section E & I Group BARC, Mumbai, India

    Shantanu Das

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  1. Md Ramjan Ali
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  2. Uttam Ghosh
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  3. Susmita Sarkar
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  4. Shantanu Das
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Correspondence to Md Ramjan Ali.

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Ali, M.R., Ghosh, U., Sarkar, S. et al. Analytic Solution of the Fractional Order Non-linear Schrödinger Equation and the Fractional Order Klein Gordon Equation. Differ Equ Dyn Syst 30, 499–512 (2022). https://doi.org/10.1007/s12591-022-00596-w

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