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Exact solution of a 2D interacting fermion model
Exact solution a 2D interacting fermion model
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2010/11/11
We study an exactly solvable quantum field theory (QFT) model describing interacting fermions in 2+1 dimensions. This model provides an effective description of spinless fermions on a square lattice w...
Lax pairs, Painlevé properties and exact solutions of the alogero Korteweg-de Vries equation and a new (2+1)-dimensional equation
Lax pairs Painlevé properties exact solutions the alogero Korteweg-de Vries equation
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2010/11/1
We prove the existence of a Lax pair for the Calogero Korteweg-de Vries (CKdV) equation. Moreover, we modify the T operator in the the Lax pair of the CKdV equation, in the search of a (2+1)-dimensio...