INTEGRABILITY OF LINEAR AND NONLINEAR EVOLUTION-EQUATIONS AND THE ASSOCIATED NONLINEAR FOURIER-TRANSFORMS
INTEGRABILITY OF LINEAR AND NONLINEAR EVOLUTION-EQUATIONS AND THE ASSOCIATED NONLINEAR FOURIER-TRANSFORMS
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DOI：
10.1007/bf00750662
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发表时间：
1994-11-01
影响因子：
1.2
通讯作者：
GELFAND, IM
中科院分区：
文献类型：
--
作者：
FOKAS, AS;GELFAND, IM
逆谱方法是一种求解某些方程的非线性傅里叶变换方法。在这里，我们强调，这种转变应该以其本身的权利来考虑。我们还进一步阐明了傅里叶变换和逆谱方法之间的联系，建立了线性方程也可以用逆谱方法求解的结论。
The inverse spectral method is a nonlinear Fourier transform method for solving certain equations. Here, we emphasize that such transforms should be considered in their own right. We also elucidate further the connection between the Fourier transform and inverse spectral methods by establishing that linear equations can also be solved through the inverse spectral method.