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

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      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.

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  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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