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

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      https://www.ias.ac.in/article/fulltext/pram/095/0176

    • Keywords

       

      Fractional differential equations with time-dependent variable coefficients; power series solution; conservation laws.

    • 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.

    • Author Affiliations

       

      BALJINDER KOUR1 2

      1. Department of Mathematics, Akal University, Talwandi Sabo, Bathinda 151 302, India
      2. Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151 401, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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