New Variable Separated Solutions and Ghoston Structure for the (2+1)-Dimensional Sine-Gordon System
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Abstract
The Bäcklund transformation and variable separation approach are developed for sine-Gordon systems. Three new types of variable separated solutions with some arbitrary functions have been obtained. A new kind of ghoston structure, which is invisible at most of time and can only be detected when it meets with a foldon, is found. This new structure shows a novel interesting and mysterious phenomenon.
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