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    • Keywords


      Compactons; $\mathcal{PT}$ symmetry; generalized KdV equations.

    • Abstract


      This paper considers the $\mathcal{PT}$-symmetric extensions of the equations examined by Cooper, Shepard and Sodano. From the scaling properties of the $\mathcal{PT}$-symmetric equations a general theorem relating the energy, momentum and velocity of any solitary-wave solution of the generalized KdV equation is derived. We also discuss the stability of the compacton solution as a function of the parameters affecting the nonlinearities.

    • Author Affiliations


      Carl M Bender1 Fred Cooper2 3 Avinash Khare4 Bogdan Mihaila5 Avadh Saxena3

      1. Department of Physics, Washington University, St. Louis, MO 63130, USA
      2. National Science Foundation, Division of Physics, Arlington, VA 22230, USA and Santa Fe Institute, Santa Fe, NM 87501, USA
      3. Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
      4. Institute of Physics, Sachivalaya Marg, Bhubaneswar 751 005, India
      5. Material Science and Technology Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
    • Dates

  • Pramana – Journal of Physics | News

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