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    • A generalised short pulse equation: Darboux transformation and exact solutions

      CHENDI ZHU LIHUA WU

      Research Article Volume 94 Published: 21 September 2020 Article ID 0138

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/094/0138

    • Keywords

       

      Generalised short pulse equation; conservation laws; Darboux transformation; exact solutions

    • Abstract

       

      We construct infinitely many conservation laws of the generalised short pulse equation with the help of its Lax pairs. By a reciprocal transformation, the generalised short pulse equation was transformed to the first negative flow of Sawada–Kotera hierarchy. On the basis of Darboux and reciprocal transformations, we obtain some exact solutions of the generalised short pulse equation.

    • Author Affiliations

       

      CHENDI ZHU LIHUA WU

      1. Dates

         
        Published
        21 September 2020
        Manuscript received
        20 March 2020
        Manuscript revised
        12 May 2020
        Accepted
        1 July 2020
        Final version published online
        21 September 2020

    • Pramana – Journal of Physics | News

      • Editorial Note on Continuous Article Publication

        Posted on July 25, 2019

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