A New Loop Algebra and Its Application to the Levi Hierarchy
Received:October 09, 2001  
Key Words: loop algebra   integrable coupling   Levi spectral problem.  
Fund Project:
Author NameAffiliation
GONG Xin-bo Teaching Adminstration Branch
Shandong University of Science and Technology
Tai'an
China 
ZHAO Jing Center of Advanced Designing Technology
Dalian University
Liaoning
China 
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Abstract:
      A new loop algebra G is constructed from a subalgebra of loop algebra A1, and then is applied to the Levi's isospectral problem to give an integrable coupling of the Levi hierarchy by making a suitable transformation of Lax pair. This method can be used generally.
Citation:
DOI:10.3770/j.issn:1000-341X.2003.04.024
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