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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 integrability of one version of nonlinear wave equation
by
Maxim Pavlov
City University of Hong Kong

In this talk we present some new results concerning two-component hydrodynamic type system of Egorov type. We can explicitely construct infinite sets of conservation laws, commuting flows for systems of this type and we can describe general solution by generalized hodograph method. The theory of two component Egorov systems can be easily extend on N-component case. Then all these systems will determined by solutions of N wave interraction.

Date received: July 14, 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-35.