An integrable generalization of the D-Kaup–Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy

2018 ◽  
Vol 323 ◽  
pp. 220-227 ◽  
Author(s):  
Morgan McAnally ◽  
Wen-Xiu Ma
Keyword(s):  
Soliton Hierarchy ◽  
Integrable Generalization

An integrable generalization of the Kaup–Newell soliton hierarchy

2014 ◽  
Vol 89 (8) ◽  
pp. 085203 ◽  
Author(s):  
Wen-Xiu Ma ◽  
Chang-Guang Shi ◽  
Emmanuel A Appiah ◽  
Chunxia Li ◽  
Shoufeng Shen
Keyword(s):  
Soliton Hierarchy ◽  
Integrable Generalization

The mixed Harry-Dym soliton hierarchy

2010 ◽  
Author(s):  
Ruguang Zhou ◽  
Wen Xiu Ma ◽  
Xing-biao Hu ◽  
Qingping Liu
Keyword(s):  
Soliton Hierarchy

INTEGRABLE COUPLINGS FOR THE ABLOWITZ–LADIK LATTICE THROUGH ENLARGING ASSOCIATED LAX PAIRS

2006 ◽  
Vol 20 (05) ◽  
pp. 253-259
Author(s):  
NING ZHANG ◽  
XI-XIANG XU ◽  
HONG-XIANG YANG
Keyword(s):  
Discrete Systems ◽  
Lax Pairs ◽  
Spectral Problems ◽  
Soliton Hierarchy ◽  
Integrable Couplings

A direct way to construct integrable couplings for discrete systems is introduced through enlarging associated spectral problems. As an application, the procedure for the Ablowitz–Ladik lattice soliton hierarchy is employed.

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