Asymptotic Property

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Haiqiong Zhao - One of the best experts on this subject based on the ideXlab platform.

  • periodic wave solutions of the boussinesq equation
    Journal of Physics A, 2007
    Co-Authors: Yi Zhang, Lingya Ye, Yineng Lv, Haiqiong Zhao
    Abstract:

    The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the Asymptotic Property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.

Yi Zhang - One of the best experts on this subject based on the ideXlab platform.

  • periodic wave solutions of the boussinesq equation
    Journal of Physics A, 2007
    Co-Authors: Yi Zhang, Lingya Ye, Yineng Lv, Haiqiong Zhao
    Abstract:

    The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the Asymptotic Property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.

Lingya Ye - One of the best experts on this subject based on the ideXlab platform.

  • periodic wave solutions of the boussinesq equation
    Journal of Physics A, 2007
    Co-Authors: Yi Zhang, Lingya Ye, Yineng Lv, Haiqiong Zhao
    Abstract:

    The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the Asymptotic Property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.

Yineng Lv - One of the best experts on this subject based on the ideXlab platform.

  • periodic wave solutions of the boussinesq equation
    Journal of Physics A, 2007
    Co-Authors: Yi Zhang, Lingya Ye, Yineng Lv, Haiqiong Zhao
    Abstract:

    The Boussinesq equation usually arises in a physical problem as a long wave equation. The present work extends the search of periodic wave solutions for it. The Hirota bilinear method and Riemann theta function are employed in the process. We also analyse the Asymptotic Property of periodic waves in detail. Furthermore, it is of interest to note that well-known soliton solutions can be reduced from the periodic wave solutions.

Shuichi Adachi - One of the best experts on this subject based on the ideXlab platform.

  • System identification under Lebesgue sampling and its Asymptotic Property
    2016 IEEE 55th Conference on Decision and Control (CDC), 2016
    Co-Authors: Takahiro Kawaguchi, Sosaburo Hikono, Ichiro Maruta, Shuichi Adachi
    Abstract:

    In system identification, the more data is collected, the more accurate model is obtained. However, under limited communication bandwidth or computational resources, it is sometimes difficult to collect and store all the measured data, so it is desired to collect and store only useful data for improving model accuracy. This paper focuses on Lebesgue sampling, which uses thresholds on signal level for triggering sampler and proposes a system identification method with using information obtained in intervals between Lebesgue sampled data. The Asymptotic variance of the estimated parameter is analyzed and effectiveness of the proposed method is examined through numerical examples.