Constructing variable coefficient nonlinear integrable coupling super AKNS hierarchy and its self-consistent sources

2018 ◽  
Vol 41 (16) ◽  
pp. 6883-6894 ◽  
Author(s):  
Hanyu Wei ◽  
Tiecheng Xia
Keyword(s):  
Variable Coefficient ◽  
Akns Hierarchy ◽  
Self Consistent ◽  
Integrable Coupling

scholarly journals A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Yuqing Li ◽  
Huanhe Dong ◽  
Baoshu Yin
Keyword(s):  
Quadratic Form ◽  
Hamiltonian Structure ◽  
Liouville Integrability ◽  
Soliton Equation ◽  
Coupling System ◽  
Self Consistent ◽  
Integrable Coupling

Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity. The Liouville integrability of the integrable coupling is demonstrated. Finally, the discrete integrable coupling system with self-consistent sources is deduced.

scholarly journals THE TRANSFORMATION BETWEEN THE AKNS HIERARCHY AND THE KN HIERARCHY WITH SELF-CONSISTENT SOURCES

2011 ◽  
Vol 18 (4) ◽  
pp. 483-490
Author(s):  
QI LI ◽  
WEN ZHANG ◽  
QIU-YUAN DUAN ◽  
DENG-YUAN CHEN
Keyword(s):  
Akns Hierarchy ◽  
Self Consistent

scholarly journals Self-Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Han-yu Wei ◽  
Tie-cheng Xia
Keyword(s):  
Conservation Laws ◽  
Lie Algebras ◽  
Soliton Hierarchy ◽  
Self Consistent ◽  
Integrable Couplings ◽  
Integrable Coupling

New explicit Lie algebras are introduced for which the nonlinear integrable couplings of the Li soliton hierarchy are obtained. Then, the nonlinear integrable couplings of Li soliton hierarchy with self-consistent sources are established. Finally, we present the infinitely many conservation laws for the nonlinear integrable coupling of Li soliton hierarchy.

scholarly journals A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Binlu Feng ◽  
Yufeng Zhang ◽  
Huanhe Dong
Keyword(s):  
Lie Algebras ◽  
Integrable Systems ◽  
Integrable Hierarchies ◽  
Coupling Model ◽  
High Dimensional ◽  
Akns Hierarchy ◽  
Integrable Couplings ◽  
Integrable Coupling

Two high-dimensional Lie algebras are presented for which four (1+1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the AKNS hierarchy. Then (2+1)-dimensional DS hierarchy is derived by using the TAH scheme; in particular, the integrable couplings of the DS hierarchy are obtained.

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