Soliton Solutions of the Derivative Nonlinear Schrodinger Equation

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  • Kawata Tutomu
    Department of Electronic Engineering, Faculty of Engineering, Toyama University
  • Kobayashi Nobuyuki
    Department of Applied Physics, Faculty of Engineering, Toyama University
  • Inoue Hiroshi
    Department of Electronic Engineering, Faculty of Engineering, Toyama University

書誌事項

タイトル別名
  • Soliton Solutions of the Derivative Nonlinear Schrödinger Equation
  • Soliton Solutions of the Derivative Non

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説明

By using the inverse scattering method the soliton solutions are examined analytically and numerically under both (I) vanishing and (II) nonvanishing conditions. The two-soliton solution for (I) shows that two solitons collide as if they were particles. For the case (II) there appears a “paired soliton” which generally pulsates with a period (“pulsative soliton”) but degenerates to a stationary one (“pure soliton”) in a limited case. There exist two types of pure solitons, envelope bright and dark solitons, between which some cases of collisions are examined. The collision between solitons of same types is similar to that of (I), while the other collisions are different from the previous case.

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