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Exactly Solvable Models in Mathematical Physics
August 3-8, 1998
South Ural State University
Chelyabinsk, Russia

Organizers
Anjan Kundu, Alexander B. Borisov, Arlen M. Il'in, Igor G. Korepanov, Vladimir E. Korepin, Yuri G. Stroganov

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Dressing chains and duplication of integrable nonlinear equations
by
Alexander B. Borisov
Institute of Metal Physics, S.Kovalevskaya str. 18, 620079, Ekaterinburg, Russia
Coauthors: Sergei A. Zykov

The scheme for obtaining new integrable nonlinear partial differential equations (NPDE) and its Lax pair is presented. Known results were reproduced for integrable evolution equations by this method. Repetition of procedure allow to construct series of equations. New integrable two-parameter PDE in sine-Gordon series was found. Equation have two parameters. Its simple soliton solution (double \pi - kink) was investigated. The speed of this solution is limited from above and from below. The work was partially supported by Russian Foundation for Basic Research Grant N 97-01-00431.

Date received: July 8, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaw-34.