On vector Schwarz-KdV equation
Published: Sep 3, 2025
Last Updated: Sep 3, 2025
Authors:M. Balakhev, V. Sokolov
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.