On the N-Extended Euler System I. Generalized Jacobi Elliptic Functions

Sebastián Ferrer, Francisco Crespo, Francisco Javier Molero

We study the integrable system of first order differential equations ${\omega }_i(v{)}^{\prime }={\alpha }_i{\prod }_{j\ne i}{\omega }_j(v)$, $(1\le i,j\le N)$ as an initial value problem, with real coefficie…