Trapping of K-dV Solitons in Sinusoidally Nonuniform Media with Weak Dissipation

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  • Yoshinaga Takao
    Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University
  • Masuda Mitsuhiro
    Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University
  • Kakutani Tsunehiko
    Department of Mechanical Engineering, Faculty of Engineering Science, Osaka University

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  • Trapping of K-dV Solitons in Sinusoidal

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Propagation of solitons in nonuniform media is examined by the K-dV equation with sinusoidal nonuniformity and dissipation terms. Under a certain balanced state between these two terms, it is observed numerically, for two different types of dissipation, that the soliton is trapped on some phase point of the medium and behaves like a localized pulse. This trapping can be explained fairly well by the soliton-perturbation approach when the nonuniformity is moderate and the dissipation is weak.

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