SINGULARITY CONFINEMENT ANALYSIS OF INTEGRODIFFERENTIAL EQUATIONS OF BENJAMIN-ONO TYPE

We analyse the integrability of various types of intregrodifferential equations belonging to the Benjamin-One family. The method used is a c ombination of two well known integrability detectors: the Painleve met hod (for continuous systems) and the singularity confinement (for disc rete systems). We confirm the results of Hietarinta based on the study of multisoliton solutions. In particular, we show that the third-orde r extension to Benjamin-One that he proposed does pass the test and is thus an excellent candidate for integrability.