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    • Periods of periodic travelling wave solutions for an elastic beam equation

      AIYONG CHEN XIAOKAI HE

      Research Article Volume 96 Published: 13 October 2022 Article ID 0203

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/096/0203

    • Keywords

       

      Period function; monotonicity; periodic travelling wave; elastic beam equation.

    • Abstract

       

      The periods of the periodic travelling wave solutions for an elastic beam equation were studied. By the transformation of variables, the elastic beam equation was reduced to a planar differential system. The period function of the planar differential system is examined. Itwas proved that the period function is a monotonic function.Moreover, the asymptotic behaviour of the period function was also given.

    • Author Affiliations

       

      AIYONG CHEN1 XIAOKAI HE1

      1. School of Mathematics and Statistics, Hunan First Normal University, Changsha 410205, People’s Republic of China

    • Dates

       
      Published
      13 October 2022
      Manuscript received
      14 April 2022
      Manuscript revised
      14 May 2022
      Accepted
      28 June 2022
      Final version published online
      13 October 2022

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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