On vector Schwarz-KdV equation

M. Balakhev, V. Sokolov

公開日: 2025/9/3

Abstract

A collection of miscellaneous continuous, semi-discrete, and discrete integrable systems can be associated with each integrable evolution equation of the KdV type. We give them for the Schwarz-KdV equation and generalize to the vector case. The existence of these vector generalizations is a non-trivial experimental fact, any mathematical explanation of which is not yet known.