Coupled Nonlinear System in (2+1) Dimension and Overturning Solitons
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Coupled nonlinear integrable systems in (2+1) dimension are generated from a matrix Schrodinger-type inverse problem and solved explicitly to demonstrate a new phenomenon of overturning. Both, the two- and three-dimensional graphical depictions of the solution are presented. Our analysis is an extension of the uncoupled case reported earlier by Bogoyavlenskii. A unique feature of the solution is the occurrence of arbitrary functions of (y, t) in its functional form, which significantly changes the behaviour of the solution.
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