Integrability of linear and nonlinear evolution equations and the associated nonlinear fourier transforms |
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| Authors: | A S Fokas I M Gelfand |
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| Institution: | (1) Department of Mathematical Sciences, Loughborough University of Technology, LE11 3TU Loughborough, U.K.;(2) Institute for Nonlinear Studies, Clarkson University, 13699-5815 Potsdam, NY, USA;(3) Department of Mathematics, Rutgers University, 08903 New Brunswick, NJ, USA |
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| Abstract: | 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. |
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| Keywords: | 34A34 35Q20 58F07 58G37 |
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