scholarly journals Stäckel transform of Lax equations

2020 ◽  
Vol 145 (2) ◽  
pp. 179-196
Author(s):  
Maciej Błaszak ◽  
Krzysztof Marciniak
Keyword(s):  
Lax Equations

scholarly journals The Strict AKNS Hierarchy: Its Structure and Solutions

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
G. F. Helminck
Keyword(s):  
Commutative Algebra ◽  
Loop Space ◽  
Integrable Hierarchy ◽  
Akns Hierarchy ◽  
Zero Curvature ◽  
Lax Equations

We discuss an integrable hierarchy of compatible Lax equations that is obtained by a wider deformation of a commutative algebra in the loop space ofsl2than that in the AKNS case and whose Lax equations are based on a different decomposition of this loop space. We show the compatibility of these Lax equations and that they are equivalent to a set of zero curvature relations. We present a linearization of the system and conclude by giving a wide construction of solutions of this hierarchy.

Lax equations scattering and KdV

2003 ◽  
Vol 44 (8) ◽  
pp. 3216-3225 ◽  
Author(s):  
P. C. Sabatier
Keyword(s):  
Lax Equations
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