Periodic waves of a discrete higher order nonlinear Schrödinger equation

  title={Periodic waves of a discrete higher order nonlinear Schr{\"o}dinger equation},
  author={R. Conte and Kwok Wing Chow},
  journal={Communications in Theoretical Physics},
  • R. Conte, K. Chow
  • Published 5 April 2006
  • Mathematics
  • Communications in Theoretical Physics
The Hirota equation is a higher order extension of the nonlinear Schrodinger equation by incorporating third order dispersion and one form of self steepening effect. New periodic waves for the discrete Hirota equation are given in terms of elliptic functions. The continuum limit converges to the analogous result for the continuous Hirota equation, while the long wave limit of these discrete periodic patterns reproduces the known result of the integrable Ablowitz–Ladik system. 
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  • Konotop, Takeno
  • Physics
    Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1996
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