Vibration of a One-Dimensional Vortex Lattice in the Type II Superconductor.

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  • Nakayama Toshio
    Institute of Science and Engineering, Ritsumeikan University, 1916 Nojicho, Shiga 525–77
  • Ito Masaaki
    Department of Applied Mathematics, Faculty of Engineering, Hiroshima University, Higashi–Hiroshima 739

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  • Vibration of a One-Dimensional Vortex Lattice in the Type 2 Superconductor
  • Vibration of a One-Dimensional Vortex L

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The vibration of the one-dimensional lattice of vortices in the type II superconductor is studied. The approximate solitary wave solution is obtained by slightly modifying the analysis by Toda in his nonlinear lattice. With an aid of computer simulation, we have examined the approximate solution and found that the small but finite amplitude solitary pulse propagates just like soliton, and that the large amplitude pulse propagates by self-adjusting to form a stable solitary wave in the course of time development. The interactions of solitary waves thus obtained are quite similar to those of Toda solitons.

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