Moduli spaces for PT-regularized solitons

  title={Moduli spaces for PT-regularized solitons},
  author={Francisco Correa and Andreas Fring and Takanobu Taira},
  journal={Journal of High Energy Physics},
We construct and analyse the moduli space (collective coordinates) for a classical field theory in 1 + 1 dimensions that possesses complex stable multi-soliton solutions with real energies when PT-regularized. For the integrable Bullough-Dodd model we show, by comparing with the exact solutions, that a one-dimensional moduli space captures well the main feature of the centre of mass motion of the one and two-soliton solutions. We demonstrate that even the time-delay and spatial displacements… 



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  • Julia CenA. Fring
  • Mathematics, Physics
    Journal of Physics A: Mathematical and Theoretical
  • 2016
Using Hirota’s direct method and Bäcklund transformations we construct explicit complex one and two-soliton solutions to the complex Korteweg–de Vries (KdV) equation, the complex modified KdV (mKdV)

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