COUPLED NONLINEAR SYSTEM IN (2+1) DIMENSION AND OVERTURNING SOLITONS

Coupled nonlinear integrable systems in (2 + 1) dimension are generate d from a matrix Schrodinger-type inverse problem and solved explicitly to demonstrate a new phenomenon of overturning. Both, the two- and th ree-dimensional graphical depictions of the solution are presented. Ou r analysis is an extension of the uncoupled case reported earlier by B ogoyavlenskii. A unique feature of the solution is the occurrence of a rbitrary functions of (y, t) in its functional form, which significant ly changes the behaviour of the solution.