Coupled KdV equations of Hirota-Satsuma type

Abstract

It is shown that the system of two coupled Korteweg-de Vries equations passes the Painlevé test for integrability in nine distinct cases of its coefficients. The integrability of eight cases is verified by direct construction of Lax pairs, whereas for one case it remains unknown.

References in corpus (2)

• The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy
• On integrability of a (2+1)-dimensional perturbed Kdv equation

Cited by in corpus (24)

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• Addendum to ``Coupled KdV Equations of Hirota-Satsuma Type'' (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255--262)
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