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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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The perturbation of the two-soliton solution of the KdV equation (the case of nearly equal amplitudes)
by
Vladimir Lazarev
Ufa State Petroleum Technical University

The Cauchy problem for the perturbed Korteveg-de Vries equation is considered. The initial data correspond to the two-soliton potential with the nearly equal amplitudes. The asymptotical solutions is constructed with the leading term as the sum of two solitons with the slow varing parameters - amplitudes and phase shifts. It is derived the equations for this solitons parameters.

Date received: April 22, 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-21.