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Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients

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Methods of Mathematical Modelling and Computation for Complex Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 373))

Abstract

We investigated the analytical solution of fractional order K(m, n) type equation with variable coefficient which is an extended type of KdV equations into a genuinely nonlinear dispersion regime. By using the Lie symmetry analysis, we obtain the Lie point symmetries for this type of time-fractional partial differential equations (PDE). Also we present the corresponding reduced fractional differential equations (FDEs) corresponding to the time-fractional K(m, n) type equation.

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Acknowledgements

The authors would like to extend great gratitude to the Editor and anonymous reviewers, whose insightful comments and constructive suggestions helped us to significantly improve the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Mazandaran, Babolsar, Iran

    H. Jafari

  2. Department of Mathematical Sciences, University of South Africa, UNISA0003, Pretoria, South Africa

    H. Jafari

  3. Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaenat, Iran

    N. Kadkhoda

  4. Department of Mathematics, Faculty of Art and Sciences, Cankaya University, Ankara, Turkey

    Dumitru Baleanu

  5. Institute of Space Sciences, Magurele-Bucharest, Magurele, Romania

    Dumitru Baleanu

Authors
  1. H. Jafari
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  2. N. Kadkhoda
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  3. Dumitru Baleanu
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All authors have read and approved the final manuscript.

Editor information

Editors and Affiliations

  1. Department of Mathematics, JECRC University, Jaipur, Rajasthan, India

    Jagdev Singh

  2. Department of Mathematics, Gauhati University, Guwahati, Assam, India

    Hemen Dutta

  3. Department of Mathematics, University of Rajasthan, Jaipur, Rajasthan, India

    Devendra Kumar

  4. Department of Mathematics and Computer Sciences, Çankaya University, Ankara, Turkey

    Dumitru Baleanu

  5. Department of Chemical Engineering, University of Chemical Technology and Metallurgy, Sofia, Bulgaria

    Jordan Hristov

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Jafari, H., Kadkhoda, N., Baleanu, D. (2022). Lie Group Theory for Nonlinear Fractional K(m, n) Type Equation with Variable Coefficients. In: Singh, J., Dutta, H., Kumar, D., Baleanu, D., Hristov, J. (eds) Methods of Mathematical Modelling and Computation for Complex Systems. Studies in Systems, Decision and Control, vol 373. Springer, Cham. https://doi.org/10.1007/978-3-030-77169-0_8

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  • DOI: https://doi.org/10.1007/978-3-030-77169-0_8

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-77168-3

  • Online ISBN: 978-3-030-77169-0

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