Liu Bie Ju Centre for Mathematical Sciences
City University of Hong Kong
Mathematical Analysis and its Applications
Colloquium

Organized by Prof. Philippe G. Ciarlet and Prof. Roderick Wong

General Analytic Solution of the Elliptic Type

by
Professor Robert Conte
Ecole Normale Supérieure de Cachan, France

Date: Nov 11, 2009 (Wednesday)
Time:4:30 pm to 5:30 pm
Venue: Room B6605 (College Conference Room)
Blue Zone, Level 6, Academic Building
City University of Hong Kong

ABSTRACT: Given a nonlinear N-th order algebraic ordinary differential equation which fails the Painlevé test, a major problem in physics is to find explicitly its general analytic solution, i.e., the largest M-parameter particular solution having a single-valued dependence on the initial conditions, with M strictly lower than N. By implementing classical results by Briot and Bouquet, we solve this problem constructively when this general analytic solution is elliptic, i.e., doubly periodic in the complex plane.

** All interested are welcome **

For enquiry: 2788-9816