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Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients

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Abstract

In this paper, the Lie group analysis method is applied to carry out the Lie point symmetries of some space–time fractional systems including coupled Burgers equations, Ito’s system, coupled Korteweg–de-Vries (KdV) equations, Hirota–Satsuma coupled KdV equations and coupled nonlinear Hirota equations with time-dependent variable coefficients with the Riemann–Liouville derivative. Symmetry reductions are constructed using Lie symmetries of the systems. To the best of our knowledge, nobody has so far derived the invariants of space–time nonlinear fractional partial differential equations with time-dependent coefficients.

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Acknowledgements

The authors would like to thank the anonymous referees for their valuable suggestions that improved the presentation of the paper. Support of CSIR Research grant to the corresponding author for carrying out the research work is fully acknowledged.

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  1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda, 151 001, India

    Sachin Kumar & Baljinder Kour

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  1. Sachin Kumar
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  2. Baljinder Kour
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Correspondence to Baljinder Kour.

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Kumar, S., Kour, B. Symmetry analysis of some nonlinear generalised systems of space–time fractional partial differential equations with time-dependent variable coefficients. Pramana - J Phys 93, 21 (2019). https://doi.org/10.1007/s12043-019-1791-6

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  • DOI: https://doi.org/10.1007/s12043-019-1791-6

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