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Blow-up for a full variational sine-Gordon system

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We consider the singularity formation of the full variational sine-Gordon system which describes the movement of long waves on a neutral dipole chain in the continuum limit on a unit sphere. The blow-up in a finite time of a smooth solution is observed by the method of characteristics.

Abstract

We consider the singularity formation of the full variational sine-Gordon system which describes the movement of long waves on a neutral dipole chain in the continuum limit on a unit sphere. The blow-up in a finite time of a smooth solution is observed by the method of characteristics.

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