scholarly journals On minimal energy solutions to certain classes of integral equations related to soliton gases for integrable systems*

Nonlinearity ◽  
2021 ◽  
Vol 34 (10) ◽  
pp. 7227-7254
Author(s):  
Arno Kuijlaars ◽  
Alexander Tovbis
Keyword(s):  
Integral Equations ◽  
Integrable Systems ◽  
Minimal Energy

NLIE METHOD FOR THE SPECTRAL PROBLEM OF AdS5 × S5

2013 ◽  
Vol 21 ◽  
pp. 165-166
Author(s):  
RYO SUZUKI
Keyword(s):  
Excited State ◽  
Spectral Problem ◽  
Integral Equations ◽  
Integrable Systems ◽  
Degrees Of Freedom ◽  
Condensed Matter ◽  
Nonlinear Integral Equations ◽  
Dynamical Degrees ◽  
T System

The excited state spectrum of AdS5 × S5 string can be computed exactly by the mirror TBA equations. We discuss an equivalent, smaller set of equations called hybrid nonlinear integral equations (NLIE). The hybrid NLIE is written by new dynamical degrees of freedom, analogous to spinon variables in condensed matter systems. This derivation is applicable to any integrable systems which obey A1 T-system equipped with certain analyticity conditions. A case study of orbifold Konishi state shows that the new method relieves the problem of criticality in the mirror TBA equations.

Linear integral equations and multicomponent nonlinear integrable systems I

1986 ◽  
Vol 137 (1-2) ◽  
pp. 44-80 ◽  
Author(s):  
J. van der Linden ◽  
F.W. Nijhoff ◽  
H.W. Capel ◽  
G.R.W. Quispel
Keyword(s):  
Integral Equations ◽  
Integrable Systems ◽  
Linear Integral ◽  
Linear Integral Equations

SOLUTION TO THE MODEL PROBLEM OF EXCITATION OF LOADED CONIC SLOT ANTENNA BY METHOD OF SINGULAR INTEGRAL EQUATIONS

2016 ◽  
Vol 75 (20) ◽  
pp. 1799-1812
Author(s):  
V. A. Doroshenko ◽  
S.N. Ievleva ◽  
N.P. Klimova ◽  
A. S. Nechiporenko ◽  
A. A. Strelnitsky
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Model Problem ◽  
Singular Integral Equations ◽  
Slot Antenna
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