• Lina Zhang

      Articles written in Pramana – Journal of Physics

    • The bifurcation and peakons for the special 𝐶(3, 2, 2) equation

      Lina Zhang

      More Details Abstract Fulltext PDF

      In this paper, we investigate a special 𝐶(3, 2, 2) equation $$u_t + ku_x − u_{xxt} + 3(u^3)_x = u_x(u^2)_{xx} + u(u^2)_{xxx}$$.

      The bifurcation and some new exact representations of peakons, bell-shaped solitary wave solutions and periodic cusp wave solutions for the equation are obtained using the qualitative theory of dynamical systems. It is shown that the peakons are actually the limit of bell-shaped solitary waves and periodic cusp waves. Moreover, a new characteristic of non-smooth solutions, two peakons coexisting for the same wave speed, is found. Some previous results are extended.

  • 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.