Two-Soliton Surface

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   Two-Soliton Surface Surface 

The Two-Soliton Surface surface is the surface of Gaussian 
curvature minus one that corresponds to the 
following solution of the Sine-Gordon equation:

  q(u,v) :=  4 * arctan( B * (exp(A2(u, v)) - exp(A1(u, v))) / (1 + exp(A1(u, v) + A2(u, v))));

where:

  B := (cos(bb * pi) - cos(aa * pi)) / (cos((bb - aa) * pi) - 1);

and

  A1 := cosec(aa * pi) * u - cotan(aa * pi) * v;

  A2 := cosec(bb * pi) * u - cotan(bb * pi) * v;


Supporting files: Description in PDF