On integrability of a (2+1)-dimensional perturbed Kdv equation

Abstract

A (2+1)-dimensional perturbed KdV equation, recently introduced by W.X. Ma and B. Fuchssteiner, is proven to pass the Painlevé test for integrability well, and its 4$\times$4 Lax pair with two spectral parameters is found. The results show that the Painlevé classification of coupled KdV equations by A. Karasu should be revised.

References in corpus (1)

• The Bi-Hamiltonian Structure of the Perturbation Equations of KdV Hierarchy

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