A hierarchy of differential-difference equations, conservation laws and new integrable coupling system

2010 ◽  
Vol 15 (8) ◽  
pp. 2037-2043 ◽  
Author(s):  
Hai-Yong Ding ◽  
Ye-Peng Sun ◽  
Feng-Chang Xue
Keyword(s):  
Conservation Laws ◽  
Difference Equations ◽  
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.

scholarly journals On a Theory for Analysing Second-Order Systems of Ordinary Discrete Equations

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
J. J. H. Bashingwa ◽  
A. H. Kara
Keyword(s):  
Conservation Laws ◽  
Difference Equations ◽  
Second Order ◽  
Discrete Equations ◽  
Second Order Systems

We present geometric based methods for solving systems of discrete or difference equations and introduce a technique for finding conservation laws for such systems.

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