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Chaotic solitons in Sine-Gordon system

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Abstract:

We extend the constant-variation method to the case of partial differential equations. Applying the method to periodically perturbed Sine-Gordon system, we find some novel solitons, which are embedded in a chaotic attractor and possess controllable velocity of motion. Taking periodically driven long Josephson junction as an example the corresponding chaotic region in parameter space and chaotic orbit are obtained analytically and numerically.

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Authors and Affiliations

  1. CCAST (World Laboratory), PO Box 8730, Beijing 100080, PR China, , , , , , CN

    Wenhua Hai

  2. Department of Physics, Hunan Normal University, Changsha 410081, PR China, , , , , , CN

    Jianshu Fang

  3. Department of Analysis and Measurement, Wuhan University, Wuhan 430072, PR China, , , , , , CN

    Zelan Zhang

Authors
  1. Wenhua Hai
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  2. Zelan Zhang
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  3. Jianshu Fang
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Received 25 December 2000

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Hai, W., Zhang, Z. & Fang, J. Chaotic solitons in Sine-Gordon system. Eur. Phys. J. B 21, 103–107 (2001). https://doi.org/10.1007/s100510170218

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  • DOI: https://doi.org/10.1007/s100510170218

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