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The Multi-Component Jaulent-Miodek Hierarchy and its Multi-Component Integrable Coupling System with Two Arbitrary Functions

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Abstract:

We devise a new simple loop algebra GM and an isospectral problem. By making use of Tu scheme, the multi-component Jaulent-Miodek (JM) hierarchy is obtained. Furthermore, an expanding loop algebra FM of the loop algebra GM is presented. Based on FM the multi-component integrable couplings system with two arbitrary functions of the multi-component Jaulent-Miodek (JM) hierarchy are worked out. The method can be applied to other nonlinear evolution equations hierarchies.

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Periodical:

Advanced Materials Research (Volume 442)

Pages:

124-128

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.442.124

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Online since:

January 2012

Authors:

Jian Ya Ge, Tie Cheng Xia

Keywords:

Integrable Coupling, Loop Algebra, Multi-Component Jaulent-Miodek Hierarchy

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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