A nonlinear discrete integrable coupling system and its infinite conservation laws

2012 ◽  
Vol 21 (11) ◽  
pp. 110202
Author(s):  
Fa-Jun Yu
Keyword(s):  
Conservation Laws ◽  
Coupling System ◽  
Integrable Coupling

scholarly journals On (2+1)-dimensional expanding integrable model of the Davey-Stewartson hierarchy

2021 ◽  
Vol 25 (6 Part B) ◽  
pp. 4431-4439
Author(s):  
Xiu-Rong Guo ◽  
Fang-Fang Ma ◽  
Juan Wang
Keyword(s):  
Lie Algebras ◽  
Hamiltonian Structure ◽  
Integrable Model ◽  
Coupling System ◽  
Integrable Coupling ◽  
Type Abstraction Hierarchy

This paper mainly investigates the reductions of an integrable coupling of the Levi hierarchy and an expanding model of the (2+1)-dimensional Davey-Stewartson hierarchy. It is shown that the integrable coupling system of the Levi hierarchy possesses a quasi-Hamiltonian structure under certain constraints. Based on the Lie algebras construct, The type abstraction hierarchy scheme is used to gener?ate the (2+1)-dimensional expanding integrable model of the Davey-Stewartson hierarchy.

THE INTEGRABLE PROPERTY OF LOTKA–VOLTERRA TYPE DISCRETE NONLINEAR LATTICE SOLITON SYSTEMS

2008 ◽  
Vol 22 (21) ◽  
pp. 2007-2019 ◽  
Author(s):  
XIN-YUE LI ◽  
XI-XIANG XU ◽  
QIU-LAN ZHAO
Keyword(s):  
Conservation Laws ◽  
Algebraic System ◽  
Hamiltonian Structure ◽  
Volterra Type ◽  
Soliton Equation ◽  
Nonlinear Lattice ◽  
Integrable Coupling

A hierarchy of discrete lattice soliton equation is obtained by using a novel algebraic system, and its Hamiltonian structure is generated by use of the Tu model. Then, conservation laws and integrable coupling of the obtained equation hierarchies are discussed.

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