Existence of conservation laws and characterization of recursion operators for completely integrable systems
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- by Joseph Grifone and Mohamad Mehdi PDF
- Trans. Amer. Math. Soc. 349 (1997), 4609-4633 Request permission
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.References
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Additional Information
- Joseph Grifone
- Affiliation: Laboratoire Emile Picard, U.M.R. C.N.R.S. 5580, Département de Mathématiques, Université Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France
- Email: grifone@picard.ups-tlse.fr
- Mohamad Mehdi
- Affiliation: Université Libanaise, Beyrouth, BP 13.5292 Chouran, Lebanon
- Email: lusc1@lara.cnrs.edu.lb
- Received by editor(s): November 28, 1994
- Received by editor(s) in revised form: April 3, 1996
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 4609-4633
- MSC (1991): Primary 35G20, 35N10; Secondary 58F07, 58G30
- DOI: https://doi.org/10.1090/S0002-9947-97-01974-0
- MathSciNet review: 1432200