On recursion operators

Physica D: Nonlinear Phenomena

Volumn 149, Issue 1-2, 2001, Pages 1-10

  Sanders, Jan A ^a   Wang, Jing Ping ^a  

^a VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Cosymmetries; Cylindrical Korteweg de Vries equation (cKdV); Recursion operator; Symmetries

Indexed keywords

EID: 0040755058     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00188-3     Document Type: Article

References (11)

1. Bilge A.H. On the equivalence of linearization and formal symmetries as integrability tests for evolution equations. J. Phys. A. 26(24):1993;7511-7519.
2. Chou T. Symmetries and a hierarchy of the general KdV equation. J. Phys. A. 20:1987;359-366.
3. I. Dorfman, Dirac Structures and Integrability of Nonlinear Evolution Equations, Wiley, Chichester, UK, 1993.
4. Fuchssteiner B. Integrable nonlinear evolution equations with time-dependent coefficients. J. Math. Phys. 34(11):1993;5140-5158.
5. I.M. Gel'fand, I.Ja. Dorfman, Hamiltonian operators and algebraic structures associated with them, Funktsional. Anal. i Prilozhen. 13 (4) (1979) 13-30, 96.
6. Guthrie G.A. Recursion operators and non-local symmetries. Proc. Roy. Soc. London Ser. A. 446(1926):1994;107-114.
7. F.W.J. Olver, Asymptotics and Special Functions, Computer Science and Applied Mathematics, Academic Press, New York, 1974.
8. P.J. Olver, Applications of Lie groups to differential equations, Vol. 107: Graduate Texts in Mathematics, 2nd Edition, Springer, New York, 1993.
9. P.J. Olver, J.A. Sanders, J.P. Wang, Nonlocal symmetries and ghosts, Technical Report, Vrije Universiteit, Amsterdam, in preparation.
10. J.P. Wang, Symmetries and conservation laws of evolution equations, Ph.D. Thesis, Vrije Universiteit, Amsterdam, 1998.
11. Zhu G.C., Chen H.H. Symmetries and integrability of the cylindrical Korteweg-de Vries equation. J. Math. Phys. 27(1):1986;100-103.