32 research outputs found
On the Darboux transformation of the second order differential operator of Fuchsian type on the Riemann sphere
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On the Darboux transformation of the second order differential operator of Fuchsian type on the Riemann sphere
Get PDFSpectrum of Darboux transformation of differential operator (Dedicated to Professor Shunichi Tanaka on his 60th birthday)
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The inverse scattering problem for the Dirac operator and the modified Korteweg-de Vries equation
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Miura Transformation and S-Matrix
Get PDFThe Miura transformations [numerical formula], m>0 are explicitly represented in terms of the scattering data of the 1-dimensional Schrodinger operators [numerical formula] with the rapidly decreasing potentials u±(x) and the 1-dimensional Dirac operator [numerical formula] with the step type potential v(x) such that lim_ v(x)=±m
