On τ-Functions of Zakharov—Shabat and Other Matrix Hierarchies of Integrable Equations

1997 ◽  
pp. 49-74 ◽  
Author(s):  
L. A. Dickey
Keyword(s):  
Integrable Equations

Lecture on SUSY Gauge Theories and Integrable Systems

1997 ◽  
Vol 11 (26n27) ◽  
pp. 3093-3124
Author(s):  
A. Marshakov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Integrable Systems ◽  
Gauge Theories ◽  
Toda Chain ◽  
Quantum Field ◽  
Standard Quantum ◽  
Integrable Equations ◽  
Complex Curves ◽  
Periodic Toda Chain

I consider main features of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential. The example of periodic Toda chain solutions is considered in detail. Recently found exact nonperturbative solutions to [Formula: see text] SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to the integrable systems are discussed.

scholarly journals On Computer-assisted Classification of Coupled Integrable Equations

2002 ◽  
Vol 33 (5) ◽  
pp. 647-660 ◽  
Author(s):  
Mikhail V. Foursov ◽  
Marc Moreno Maza
Keyword(s):  
Computer Assisted ◽  
Integrable Equations

scholarly journals Integrable Equations with a Forcing of a Distribution Type

1994 ◽  
Vol 92 (2) ◽  
pp. 97-114 ◽  
Author(s):  
A. S. Fokas ◽  
A. R. Its ◽  
V. Yu. Novokshenov
Keyword(s):  
Integrable Equations ◽  
Distribution Type

Non-local integrable equations as reductions of the Toda hierarchy

1991 ◽  
Vol 160 (2) ◽  
pp. 166-172 ◽  
Author(s):  
D. Lebedev ◽  
A. Orlov ◽  
S. Pakuliak ◽  
A. Zabrodin
Keyword(s):  
Integrable Equations ◽  
Toda Hierarchy ◽  
Non Local
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