Parametric breather surface

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SS234822

VC1664

Parametric breather surface, an example of a surface in 3-space whose intrinsic geometry is the hyperbolic geometry of Bolyai and Lobachevsky. Such surfaces are in one-to-one correspondence with the solutions of the so-called Sine-Gordon Equation, or SGE, that also arises in high-energy physics. SGE is an equation of the soliton type and the Breather surface corresponds to a time-periodic 2-soliton solution.

Scott Camazine / Science Source

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