• Lie symmetry analysis for the coupled integrable dispersionless equations

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      https://www.ias.ac.in/article/fulltext/pram/093/06/0100

    • Keywords

       

      Coupled integrable dispersionless equations; symmetry analysis; optimal system; conservation laws

    • Abstract

       

      In this paper, we primarily investigate Lie symmetry analysis and exact solutions for the coupled integrable dispersionless equations. First of all, based on the Lie symmetry analysis, an optimal system of one dimensional subalgebras is constructed. Furthermore, similarity reductions and group invariant solutions are given. Next, exact solutions of the reduced equations have been derived by the method of power series. Finally, by means of Ibragimov’s method, conservation laws are obtained.

    • Author Affiliations

       

      YAO ZHANG1 BEN GAO1

      1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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