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Lattice Yang-Mills theories in any dimension may be regarded as coupled 1+1-dimensional integrable field theories. These integrable systems decouple at large center-of-mass energies, where the action...
Noncommutative (generalized) sine-Gordon/massive Thirring correspondence, integrability and solitons
sine-Gordon/massive Thirring correspondence integrability solitons
2010/12/23
Some properties of the correspondence between the non-commutative versions of the (generalized) sine-Gordon (NCGSG$_{1,2}$) and the massive Thirring (NCGMT$_{1,2}$) models are studied. Our method reli...
Applying Integrability to Gauge Theories
Baruch College and the Graduate School and University Center
2010/11/24
Lattice Yang-Mills theories in any dimension may be regarded as coupled 1 + 1-dimensional
integrable field theories. These integrable systems decouple at large center-of-mass energies,
where the act...
Integrability of two-component nonautonomous nonlinear Schrödinger equation
two-component nonautonomous nonlinear Schrö dinger equation
2010/11/16
We investigate the integrability of generalized nonautonomous nonlinear Schr\"odinger (NLS) equations governing the dynamics of the single- and double-component Bose-Einstein condensates (BECs). The ...