Existence of conservation laws and characterization of recursion operators for completely integrable systems-Reference-Cited by-同舟云学术

Existence of conservation laws and characterization of recursion operators for completely integrable systems

Published:1997 Issue:11 Volume:349 Page:4609-4633
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Grifone Joseph,Mehdi Mohamad

Abstract

Using the Spencer-Goldschmidt version of the Cartan-Kähler theorem, we give conditions for (local) existence of conservation laws for analytical quasi-linear systems of two independent variables. This result is applied to characterize the recursion operator (in the sense of Magri) of completely integrable systems.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1997-349-11/S0002-9947-97-01974-0/S0002-9947-97-01974-0.pdf

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