Integration of Linear-Partial-Differential Equations Arising from a N × N-Matrix Spectral Problem

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概要

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• We study the partial-differential system (LPDE) obtained from linearization ofa primitive nonlinear equation (NLPDE) integrable by virture of the N x V-matrixspectral problem. Solutions of the LPDE is exactly related with "squared eigen-states" appropriately defined in the spectral equation. The completeness ofsquared eigenstates is derived by applying the "Riemann-Hilbert" transforma-tion (RHT) and triangular factorization procedure (TFP) for matrices. Finallythe LPDE is integrated by using a Green function uniquely defined for the LPDE.

• 社団法人日本物理学会の論文
• 1985-10-15

著者

• Kawata Tsutomu

  Faculty Of Engineering Toyama University

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