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Space–time fractional nonlinear partial differential system: Exact solution and conservation laws

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Abstract

The objective of this manuscript is to analyse space–time fractional generalised Hirota–Satsuma coupled Korteweg–de Vries (HSCKdV) system with time-dependent variable coefficients for exact solution using power series method corresponding to Lie symmetry reduction of HSCKdV system. The exact solution obtained in power series form is further analysed for convergence. Conservation laws of the HSCKdV system are constructed by using the new conservation theorem and generalised fractional Noether’s operator.

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Acknowledgements

Baljinder Kour thankfully acknowledges the support of CSIR Research Grant.

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Authors and Affiliations

  1. Department of Mathematics, Akal University, Talwandi Sabo, Bathinda , 151 302, India

    Baljinder Kour

  2. Department of Mathematics and Statistics, Central University of Punjab, Bathinda , 151 401, India

    Baljinder Kour

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  1. Baljinder Kour
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Correspondence to Baljinder Kour.

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Kour, B. Space–time fractional nonlinear partial differential system: Exact solution and conservation laws. Pramana - J Phys 95, 176 (2021). https://doi.org/10.1007/s12043-021-02205-x

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  • DOI: https://doi.org/10.1007/s12043-021-02205-x

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