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ZHANG Li-xun, LIU Yong-zhi, WANG Kang-ning. Construction of Solution for the Third Order Dispersion Evolution Equation[J]. Journal of Electronic Science and Technology, 2004, 2(2): 83-86.
Citation: ZHANG Li-xun, LIU Yong-zhi, WANG Kang-ning. Construction of Solution for the Third Order Dispersion Evolution Equation[J]. Journal of Electronic Science and Technology, 2004, 2(2): 83-86.

Construction of Solution for the Third Order Dispersion Evolution Equation

Funds:

Supported by the National Nature Science Foundation of China (No. 60377021)

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  • Author Bio:

    ZHANG Li-xun research interests include: theory of modern control, non-linear optics, optical-electronic sensor and optical-fiber communication, zlx@uestc.edu.cn

  • Received Date: 2003-06-19
  • Publish Date: 2004-06-25

通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

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Construction of Solution for the Third Order Dispersion Evolution Equation

Funds:

Supported by the National Nature Science Foundation of China (No. 60377021)

  • Author Bio:

Abstract: The Golstein's strong solution formula of the second order evolution equation expands to that of the third dispersion equation by the analogy method. The semigroup expressions of its generating operator of the third order dispersion equation are obtained, and the expression to satisfy the semigroup conditions in the three orthogonal Hilbert space of the construction is also proved. Furthermore, the necessary and sufficient conditions of the generating operator's unitary semigroup are given.

ZHANG Li-xun, LIU Yong-zhi, WANG Kang-ning. Construction of Solution for the Third Order Dispersion Evolution Equation[J]. Journal of Electronic Science and Technology, 2004, 2(2): 83-86.
Citation: ZHANG Li-xun, LIU Yong-zhi, WANG Kang-ning. Construction of Solution for the Third Order Dispersion Evolution Equation[J]. Journal of Electronic Science and Technology, 2004, 2(2): 83-86.

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