Title :
The Multi-component Geng Hierarchy and Its Multi-component Integrable Coupling System
Author_Institution :
Jinhua Polytech., Jinhua, China
Abstract :
We devise a new simple loop algebra and an isospectral problem. By making use of Tu scheme, the multi-component Geng hierarchy is obtained. Further more, an expanding loop algebra of the loop algebra is presented. Based on, the multi-component integrable couplings system of the multicomponent Geng hierarchy are worked out. The method can be applied to other nonlinear evolution equations hierarchies.
Keywords :
algebra; nonlinear differential equations; partial differential equations; Tu scheme; expanding loop algebra; isospectral problem; multicomponent Geng hierarchy; multicomponent integrable coupling system; nonlinear PDE; nonlinear evolution equation hierarchy; partial differential equation; simple loop algebra; Algebra; Control engineering; Couplings; Equations; Frequency modulation; Mathematical model; Silicon compounds; Geng hierarchy Integrable coupling loop algebra;
Conference_Titel :
Control Engineering and Communication Technology (ICCECT), 2012 International Conference on
Conference_Location :
Liaoning
Print_ISBN :
978-1-4673-4499-9
DOI :
10.1109/ICCECT.2012.271
