Coupled Nonlinear System in (2+1) Dimension and Overturning Solitons |
| C. Ghosh and A.R. Chowdhury High Energy Physics Division, Department of Physics, Jadavpur University, Calcutta 700 032, India |
| Received: January 13, 1995; revised version: June 19, 1995; in final form: December 5, 1995 |
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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. |
| DOI: 10.12693/APhysPolA.89.459 PACS numbers: 02.90.+p, 52.35.Nx, 52.35.Sb |