Linear and nonlinear generalized Fourier transforms

Linear and nonlinear generalized Fourier transforms
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线性和非线性广义傅立叶变换

DOI:
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发表时间:
2006
期刊:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子:
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通讯作者:
B. Pelloni
B. Pelloni
中科院分区:
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文献类型:
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作者:
B. Pelloni

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本文综述了求解线性和可积非线性偏微分方程的变换方法。Fokas提出的这种新的变换方法,是各种基本数学方法的推广和统一,特别是它是傅里叶变换方法的推广。
This article presents an overview of a transform method for solving linear and integrable nonlinear partial differential equations. This new transform method, proposed by Fokas, yields a generalization and unification of various fundamental mathematical techniques and, in particular, it yields an extension of the Fourier transform method.