Triangular Factorizations and Riemann-Hilbert Problem of the AKNS Equation

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概要

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• Assumming the potential on a compact support, we simply show that funda-mental matrix solutions analytic on the upper and lower planes of the spectralparameter approach to triangular matrices as .v+.].c<>. After the normalizationof fundamental solutions by the triangular states, the scattering matrix and R-Hproblem are naturally defined through triangular factorization formulae. Aderivation of the Gel'fand-Levitan integral equation is given based on the R-Hproblem.

• 社団法人日本物理学会の論文
• 1985-01-15

著者

• Kawata Tsutomu

  Faculty Of Engineering Toyama University

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