A Note on the Painleve Property of Coupled KdV Equations

Abstract

We prove that one system of coupled KdV equations, claimed by Hirota, Hu, and Tang to pass the Painleve test for integrability, actually fails the test at the highest resonance of the generic branch and therefore must be non-integrable.

4 pages

References in corpus (1)

• Coupled KdV equations of Hirota-Satsuma type

Cited by in corpus (3)

• Integrability of a generalized short pulse equation revisited
• On integrability of a third-order complex nonlinear wave equation
• Integrability of one bilinear equation: singularity analysis and dimension