Integrability of Kersten-Krasil'shchik coupled KdV-mKdV equations: singularity analysis and Lax pair

Abstract

The integrability of a coupled KdV-mKdV system is tested by means of singularity analysis. The true Lax pair associated with this system is obtained by the use of prolongation technique.

9 pages

Cited by in corpus (1)

• Classification of polynomial integrable systems of mixed scalar and vector evolution equations. I