# Contents

## Idea

The Korteweg de Vries equation is a differential equation, a particular nonlinear variant of a wave equation:

$u_t = (3u^2 + u_{xx})_x$

This is one of the main examples in the study of integrable systems.

## References

• M. Adler, On a trace functional for formal pseudo differential operators and the symplectic structure of the Korteweg de Vries type equations, Invent. Math. 50 (1978/79), no. 3, 219–248, MR520927

Revised on December 20, 2017 09:44:24 by Urs Schreiber (178.24.246.146)