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2014 A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy
Fajun Yu, Shuo Feng, Yanyu Zhao
Abstr. Appl. Anal. 2014(SI31): 1-7 (2014). DOI: 10.1155/2014/146537

Abstract

We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system; then we consider the Hamiltonian structure of the integrable coupling system. We select the U ¯ , V ¯ and generate the nonlinear composite parts, which generate new extended WKI integrable couplings. It is also indicated that the method of block matrix is an efficient and straightforward way to construct the integrable coupling system.

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Fajun Yu. Shuo Feng. Yanyu Zhao. "A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy." Abstr. Appl. Anal. 2014 (SI31) 1 - 7, 2014. https://doi.org/10.1155/2014/146537

Information

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

zbMATH: 07021807
MathSciNet: MR3228058
Digital Object Identifier: 10.1155/2014/146537

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI31 • 2014
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