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2014 A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings
Guangming Wang
Abstr. Appl. Anal. 2014(SI31): 1-6 (2014). DOI: 10.1155/2014/357621

Abstract

Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree being λ , for which an integrable hierarchy of evolution equations (called the TX hierarchy) was derived under the frame of zero curvature equations. In the paper, we present a loop algebra whose degrees are 2 λ and 2 λ + 1 to simply represent the above isospectral matrix and easily derive the TX hierarchy. Specially, through enlarging the loop algebra with 3 dimensions to 6 dimensions, we generate a new integrable coupling of the TX hierarchy and its corresponding Hamiltonian structure.

Citation

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Guangming Wang. "A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings." Abstr. Appl. Anal. 2014 (SI31) 1 - 6, 2014. https://doi.org/10.1155/2014/357621

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022217
MathSciNet: MR3212415
Digital Object Identifier: 10.1155/2014/357621

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI31 • 2014
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