A kind of integrable couplings of soliton equations hierarchy with self-consistent sources associated with

2008 ◽  
Vol 372 (44) ◽  
pp. 6613-6621 ◽  
Author(s):  
Fajun Yu
Keyword(s):  
Soliton Equations ◽  
Self Consistent ◽  
Integrable Couplings

scholarly journals Integrable motion of curves in self-consistent potentials: Relation to spin systems and soliton equations

2014 ◽  
Vol 378 (30-31) ◽  
pp. 2118-2123 ◽  
Author(s):  
R. Myrzakulov ◽  
G.K. Mamyrbekova ◽  
G.N. Nugmanova ◽  
K.R. Yesmakhanova ◽  
M. Lakshmanan
Keyword(s):  
Spin Systems ◽  
Soliton Equations ◽  
Self Consistent

KN EQUATIONS HIERARCHY WITH SELF-CONSISTENT SOURCES AND ITS INTEGRABLE COUPLINGS

2011 ◽  
Vol 25 (25) ◽  
pp. 3325-3335
Author(s):  
FA-JUN YU ◽  
JIN-CAI CHANG
Keyword(s):  
Lie Algebra ◽  
Kronecker Product ◽  
Loop Algebra ◽  
Soliton Hierarchy ◽  
Self Consistent ◽  
Integrable Couplings

A hierarchy of the KN equations with self-consistent sources is derived with the Lie algebra sl(4). As an application example, the integrable couplings of the KN soliton hierarchy with self-consistent sources are constructed by using of Kronecker product and loop algebra [Formula: see text].

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