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Matrix spectral problem with multiple-order jumps and poles

Published online by Cambridge University Press:  17 February 2009

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

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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.

Type
Research Article
Information
The ANZIAM Journal , Volume 37 , Issue 3 , January 1996 , pp. 320 - 333
Copyright
Copyright © Australian Mathematical Society 1996

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