Computation of conservation laws for nonlinear lattices

Physica D: Nonlinear Phenomena

Volumn 123, Issue 1-4, 1998, Pages 425-436

  Göktaş, Ünal ^a   Hereman, Willy ^a  

^a Department of Geology and Geological Engineering   (United States)

Author keywords

Conservation law; Integrability; Lattice; Semi discrete

Indexed keywords

EID: 0001746868     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(98)00140-7     Document Type: Article

References (25)

1. E.G.B. Hohler, K. Olaussen, Int. J. Mod. Phys. A 11 (1996) 1831.
2. A.B. Shabat, R.I. Yamilov, Leningrad Math. J. 2 (1991) 377.
3. F.J. Hickernell, Stud. Appl. Math. 69 (1983) 23.
4. R.J. LeVeque, Numerical Methods for Conservation Laws, Birkhäuser, Basel, 1992.
5. J.M. Sanz-Sema, J. Comput. Phys. 47 (1982) 199.
6. D. Levi, P. Winternitz, J. Math. Phys. 34 (1993) 3713.
7. D. Levi, O. Ragnisco, Lett. Nuovo Cimento 22 (1978) 691.
8. A. Ramani, B. Grammaticos, K.M. Tamizhmani, J. Phys. A 25 (1992) L883.
9. B. Deconinck, Phys. Lett. A 223 (1996) 45.
10. I. Cherdantsev, R. Yamilov, in: D. Levi, L. Vinet, P. Winternitz (Eds.), Symmetries and Integrability of Difference Equations, American Mathematical Society, Providence, RI, 1996, p. 51.
11. D. Levi, R. Yamilov, J. Math. Phys. 38 (1997) 6648.
12. V.V. Sokolov, A.B. Shabat, in: Soviet Sci. Rev. Sec. C, vol. 4, Harwood Academic Publishers, New York, 1984, p. 221.
13. R. Yamilov, in: Proceedings of the Eighth International Workshop on Nonlinear Evolution Equations and Dynamical Systems, World Scientific, Singapore, 1993, p. 423.
14. Ü. Göktaş, W. Hereman, J. Symb. Comp. 24 (1997) 591.
15. Ü. Göktaş, W. Hereman, The program condens.m, available via Internet URL: http://www.mines.edu/fs_home/whereman/.
16. Ü. Göktaş, W. Hereman, G. Erdmann, Phys. Lett. A 236 (1997) 30.
17. Ü. Göktaş, W. Hereman, The program diffdens.m, available from the WWW site in [15].
18. S. Wolfram, The Mathematica book, 3rd ed. Wolfram Media, Urbana-Champaign, Illinois & Cambridge University Press, London, 1996.
19. M. Toda, Theory of Nonlinear Lattices, Springer, Berlin, 1981.
20. M.J. Ablowitz, J.F. Ladik, J. Math. Phys. 17 (1976) 1011.
21. M.J. Ablowitz, J.F. Ladik, Stud. Appl. Math. 55 (1976) 213.
22. M.J. Ablowitz, B.M. Herbst, SIAM J. Appl. Math. 50 (1990) 339.
23. X-B. Hu, R.K. Bullough, J. Phys. A 30 (1997) 3635.
24. M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge, UK, 1991.
25. M. Hénon, Phys. Rev. B 9 (1974) 1921.