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2014 Two Expanding Integrable Models of the Geng-Cao Hierarchy
Xiurong Guo, Yufeng Zhang, Xuping Zhang
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/860935

Abstract

As far as linear integrable couplings are concerned, one has obtained some rich and interesting results. In the paper, we will deduce two kinds of expanding integrable models of the Geng-Cao (GC) hierarchy by constructing different 6-dimensional Lie algebras. One expanding integrable model (actually, it is a nonlinear integrable coupling) reduces to a generalized Burgers equation and further reduces to the heat equation whose expanding nonlinear integrable model is generated. Another one is an expanding integrable model which is different from the first one. Finally, the Hamiltonian structures of the two expanding integrable models are obtained by employing the variational identity and the trace identity, respectively.

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Xiurong Guo. Yufeng Zhang. Xuping Zhang. "Two Expanding Integrable Models of the Geng-Cao Hierarchy." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/860935

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07023214
MathSciNet: MR3176774
Digital Object Identifier: 10.1155/2014/860935

Rights: Copyright © 2014 Hindawi

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