Generating Quadrilateral and Circular Lattices in KP Theory

Details Generating Quadrilateral and Circular Lattices in KP Theory Generating Quadrilateral and Circular Lattices in KP Theory

1998-10-15

arxiv.org/abs/solv-int/9810012v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

20 pages, 1 figure, LaTeX2e with AMSLaTeX, Babel, graphicx and psfrag packages

Scientific paper

10.1016/S0375-9601(99)00579-4

The bilinear equations of the $N$-component KP and BKP hierarchies and a
corresponding extended Miwa transformation allow us to generate quadrilateral
and circular lattices from conjugate and orthogonal nets, respectively. The
main geometrical objects are expressed in terms of Baker functions.

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