Integrable boundary conditions for classical sine-Gordon theory

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Integrable boundary conditions for classical sine-Gordon theory

The possible boundary conditions consistent with the integrability of the classical sine-Gordon equation are studied. A boundary value problem on the half-line x ≤ 0 with local boundary condition at the origin is considered. The most general form of this boundary condition is found such that the problem be integrable. For the resulting system an infinite number of involutive integrals of motion...

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Integrability and supersymmetry of the supersymmetric extension of the sine-Gordon theory on a half-line are examined and the boundary potential which preserves both the integrability and supersymmetry on the bulk is derived. It appears that unlike the boundary bosonic sine-Gordon theory, integrability and supersymmetry strongly restrict the form and parameters of the boundary potential, so tha...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 1995

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/28/4/029