J Austral Math Soc Ser B 37 pp230--333, 1996.

Matrix spectral problem with multiple-order jumps and poles

Zhuhan Jiang

(Received 30 August 1993)

Abstract

The inverse spectral method for a general N × N spectral problem for solving nonlinear evolution equations in one spacial and one temporal dimension is extended to include multi-boundary jumps and high-order poles and their explicit representations. It therefore provides a formalism to generate soliton solutions that correspond to higher-order poles of the spectral data.

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Author

Zhuhan Jiang: Department of Mathematics Statistics and Computing Science, University of New England, Armidale NSW 2351, Australia.

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Last Modified: Mon Dec 10 13:31:55 2001