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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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Structural instability of the solitary wave for the Davey-Stewartson II equation
by
Oleg Kiselev
Institute of Mathematics, Ufa, Sci. Centre of Russian Academy of Sciences
Coauthors: Rustem R. Gadyl'shin

We show that under small perturbation (in order \epsilon) of lump (soliton) for Davey-Stewartson II equation, the scattering data gain the nonsoliton structure. As a result, the solution has the form of the Fourier type integral. Asymptotical analysis shows that in spite of the dispersion, the principal term ot the asymptotic expansion for the solution has the solitary wave form up to large time (in order \epsilon-1).

Date received: April 20, 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-20.