On integrability of systems of evolution equations

Journal of Differential Equations

Volumn 172, Issue 2, 2001, Pages 396-408

  Beukers, Frits ^a   Sanders, Jan A ^b   Wang, Jing Ping ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035918655     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3859     Document Type: Article

References (10)

1. Bakirov I. M. Technical report. 1991.
2. Beukers F. On a sequence of polynomials. J. Pure Appl. Algebra. 117/118:1997;97-103.
3. Beukers F., Smyth C. J. Cyclotomic points on curves. Proc. Milennial Conference on Number Theory, May 21-26, 2000, Urbana-Champaign. 2001;A. K. Peters.
4. Beukers F., Sanders J. A., Wang J. P. One symmetry does not imply integrability. J. Differential Equations. 146:1998;251-260.
5. Gel'fand I. M., Dikii L. A. Asymptotic properties of the resolvent of Sturm-Liouville equations, and the algebra of Korteweg-de Vries equations. Uspehi Mat. Nauk. 30:1975;67-100.
6. Oevel W. Rekursionsmechanismen für Symmetrien und Erhaltungssätze in integrablen Systemen. 1984;Universität-Gesamthochschule Paderborn, Paderborn.
7. Olver P. J. Applications of Lie Groups to Differential Equations. Graduate Texts in Mathematics. 107:1993;Springer-Verlag, New York.
8. Olver P. J., Sokolov V. V. Integrable evolution equations on associative algebras. Comm. Math. Phys. 193:1998;245-268.
9. P. J. Olver, and, J. P. Wang, Classification of integrable one-component systems on associative algebras, in, Proc. of the London Mathematical Society, 2000, to appear.
10. Sanders J. A., Wang J. P. On the integrability of homogeneous scalar evolution equations. J. Differential Equations. 147:1998;410-434.