Linearizing Flows and a Cohomology Interpretation of Lax Equations

1984 ◽  
pp. 37-46
Author(s):  
S. S. Chern
Keyword(s):  
Lax Equations

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.

Affine Lie Superalgebra and Lax Equations Associated with B(0, 1)(1)

2019 ◽  
Vol 83 (1) ◽  
pp. 49-60
Author(s):  
Baiying He ◽  
Liangyun Chen
Keyword(s):  
Lie Superalgebra ◽  
Lax Equations
Sign in / Sign up

Export Citation Format

Share Document