• YANXIA WANG

      Articles written in Pramana – Journal of Physics

    • Non-local symmetry, interaction solutions and conservation laws of the (1 + 1)-dimensional Wu–Zhang equation

      YANXIA WANG BEN GAO

      More Details Abstract Fulltext PDF

      In this article, we take into account the (1 + 1)-dimensional dispersive long-wave equation which is reduced from the Wu–Zhang equation. Firstly, the Bäcklund transformation and the non-local symmetry are successfully acquired from the truncated Painlevé expansion. At the same time, the non-local symmetry is transformed to Lie point symmetry by a suitable prolonged system. Then some solitary solutions are derived without a hitch via new Bäcklund transformation which originates from Lie point symmetry. Secondly, by utilising the consistent Riccati expansion method and the consistent tanh-expansion method, we find the interaction solutions between soliton and cnoidal wave by using the Jacobi elliptic function. Lastly, the conservation laws which are related to symmetries of the equation are successfully obtained by Ibragimov’s method.

  • Pramana – Journal of Physics | News

    • Editorial Note on Continuous Article Publication

      Posted on July 25, 2019

      Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.