Relations between Dressing Method and Inverse Scattering Method in Second Matrix-Order and 1+1 Dimensions

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概要

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• The dressing method (DM) powerful for the local analysis of sccme integrablesystems and the inverse spectral transform (IST) are compared for the case of aneigenvalue problem in 2 X 2-matrix order and 1 T l dimensions, Althotzgh the solutionmethod of DM is reduced to Gel'fand-Levitan type of integral equations (GEE), thatis not excatly equivalent to the one obtained by the IST. This problem was studied par-ticularly and we found that the principal factorization formula as to the Fredholmtype of operators used in the DM is directly related with the Riemanrt-Hilbert prob-Hem (RIIP) which is important for the IST.

• 社団法人日本物理学会の論文
• 1992-10-15

著者

• Kawata Tsutomu

  Facuty Of Engineering Toyama University

関連論文

• Relations between Dressing Method and Inverse Scattering Method in Second Matrix-Order and 1+1 Dimensions

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