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ANZIAM 2010
January 31 - February 4, 2010

Queenstown, New Zealand

Organizers
Alex James, Boris Baeumer.

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Casorati determinant solutions to the non-autonomous cross-ratio equation
by
Mike Hay
Kyushu Universtiy
Coauthors: Kenji Kajiwara

We explain how to use known solutions to bilinear equations to solve some famous integrable nonlinear partial difference equations.

We begin with non-autonomous Casorati determinant solutions to the discrete two-dimensional Toda lattice equation, which is a well-known bilinear, integrable equation. These solutions are adapted to construct explicit solutions to the discrete Scharzian KP equation and the non-autonomous cross-ratio equation.

Date received: January 8, 2010

Copyright © 2010 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cazy-50.