The Vector Ito–Drienfel'd–Sokolov System: Bilinear Bäcklund Transformation and Lax Pair

Pfaffian-Type Soliton Solution to a Multi-Component Coupled Ito Equation

“…Karasu et al [5] applied Painlevé test to a generalized coupled Ito system and showed that this system passes the Painlevé test for integrability under five distinct cases, of which two are the coupled Ito systems (3) and (4). Recently, Balakhnev [6] proposed another vector coupled Ito system and presented its bilinear Bäcklund transformation and Lax pair.…”