Article

**Jahresber. Deutsch. Math.-Verein. 103, no. 4, 149-162 (2001)**[url]

## Almost Everything You Always Wanted to Know About the Toda Equation

### Gerald Teschl and Wien

The present article reviews methods from spectral theory and algebraic geometry for finding
explicit solutions of the Toda equation, namely for the

*N*-soliton solution and quasi-periodic solutions. Along they way basic concepts like Lax pairs, associated hierarchies, and Bäcklund transformations for the Toda equation are introduced.
**Keywords:** *Toda equation, Kac van Moerbeke equation, Solitons, Lax pair}*

Download