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    • Analysis of the evolution equation of a hyperbolic curve flow via Lie symmetry method

      BEN GAO ZHANG SHI

      Research Article Volume 94 Published: 12 March 2020 Article ID 0055

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0055

    • Keywords

       

      Evolution equation of a hyperbolic curve flow; Lie group of symmetry; optimal system; power series solutions

    • Abstract

       

      In this paper, based on the classical symmetry method, the group-invariant solutions of the evolution equation of a hyperbolic curve flow are investigated. The optimal system of the obtained symmetries is found, and the reduced equations and exact solutions of the evolution equation are discussed. Then explicit solutions are obtained by the power series method. In addition, the convergence of the power series solutions is proved. Theobjective shapes of the solutions of the evolution equation are performed.

    • Author Affiliations

       

      BEN GAO1 ZHANG SHI1

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

    • Dates

       
      Published
      12 March 2020
      Manuscript received
      25 August 2019
      Manuscript revised
      20 November 2019
      Accepted
      12 December 2019
      Early published
      Unedited version published online
      Final version published online
      12 March 2020

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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