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Yuan Wei [3]Yüan-K'uang Wei [1]Yuanyuan Wei [1]Yüan-Kuei Wei [1]
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    Fractional Soliton Dynamics and Spectral Transform of Time-Fractional Nonlinear Systems: A Concrete Example.Sheng Zhang, Yuanyuan Wei & Bo Xu - 2019 - Complexity 2019:1-9.
    In this paper, the spectral transform with the reputation of nonlinear Fourier transform is extended for the first time to a local time-fractional Korteweg-de vries equation. More specifically, a linear spectral problem associated with the KdV equation of integer order is first equipped with local time-fractional derivative. Based on the spectral problem with the equipped local time-fractional derivative, the local tfKdV equation with Lax integrability is then derived and solved by extending the spectral transform. As a result, a formula of (...)
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