Linear canonical transform's differentiation properties and their application in solving generalized differential equations

Linear canonical transform's differentiation properties and their application in solving generalized differential equations
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DOI:
10.1016/j.ijleo.2019.05.036
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发表时间:
2019-07
期刊:
影响因子:
3.1
通讯作者:
Zhi-Chao Zhang
Zhi-Chao Zhang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Zhi-Chao Zhang

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本文介绍了线性正则变换(LCT)的高阶微分原理。我们还讨论了所导出的性质在求解与LCT相关的两类广义微分方程(广义线性常微分方程和广义波动方程)中的应用。
In this paper, we introduce higher differentiation principles of the linear canonical transform (LCT). We also discuss the derived properties’ application in the solution of two kinds of generalized differential equations associated with the LCT, including the generalized linear ordinary differential equation and the generalized wave equation.