Quadratic reductions of quadrilateral lattices

Details Quadratic reductions of quadrilateral lattices Quadratic reductions of quadrilateral lattices

1998-02-13

arxiv.org/abs/solv-int/9802011v1

J. Geom. Phys. 30 (1999) 169-186

Nonlinear Sciences

Exactly Solvable and Integrable Systems

24 pages

Scientific paper

10.1016/S0393-0440(98)00053-9

It is shown that quadratic constraints are compatible with the geometric integrability scheme of the multidimensional quadrilateral lattice equation. The corresponding Ribaucour reduction of the fundamental transformation of quadrilateral lattices is found as well, and superposition of the Ribaucour transformations is presented in the vectorial framework. Finally, the quadratic reduction approach is illustrated on the example of multidimensional circular lattices.

Affiliated with

Also associated with

No associations

Rating

Quadratic reductions of quadrilateral lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quadratic reductions of quadrilateral lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quadratic reductions of quadrilateral lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-535890