Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2000-12-29
Nonlinear Sciences
Exactly Solvable and Integrable Systems
10 pages. The talk at the International Seminar "Day on Diffraction". June 1-3, 1999. St.Petersburg, Russia
Scientific paper
The application of the Darboux Transformation method to the integrable model of Cylindrically Symmetrical Chiral field has been considered. The associated linear system of matrix equations has been proposed and the properties of symmetrie for its solutions has been obtained. The necessary form of Darboux Transformation has been found and formal one- and N-soliton solutions have been constructed. With the use of Pohlmayer's Transformation the equation sin-Gordon type have been given and the hypothesis about its integrability has been deduced.
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