Variational approximations to breathers in the discrete sine-Gordon equation II: Moving breathers and Peierls-Nabarro energies

Nonlinearity

Volumn 9, Issue 6, 1996, Pages 1583-1598

  Wattis, Jonathan A D ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001584920     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/9/6/011     Document Type: Article

References (22)

1. Abramowitch M and Stegun I A 1972 Handbook of Mathematical Functions (New York: Dover)
2. Boesch R and Peyrard M 1991 Phys. Rev. B 43 8491
3. Duncan D B, Eilbeck J C, Feddersen H and Wattis J A D 1993 Physica D 68 1
4. Duncan D B and Wattis J A D 1992 Chaos, Solitons and Fractals 2 505
5. Feddersen H 1992 preprint
6. Filiaux F and Carlile C J 1990 Phys. Rev. B 42 5990
7. Golubov A A, Serpuchenko I L and Ustinov A V 1988 Sov. Phys. - JETP 67 1256
8. Malomed B A 1988 Phys. Rev. B 38 9242
9. Malomed B A and Ustinov A V 1990 Phys. Rev. B 41 254
10. Char B W, Geddes K O, Gonnet G H, and Leong B L, Monagan M B and Watt S M 1991 Maple V Library Reference Manual (Waterloo: Maple)
11. Peyrard M and Kruskal M D 1984 Physica D 14 88
12. Dauxois T and Peyrard M 1993 Phys. Rev. Lett. 70 3935
13. Dauxois T, Peyrard M and Willis C R 1992 Physica D 57 267
14. Flach S and Willis C R 1993 Phys. Lett. A 181 232
15. Kivshar Yu S and Peyrard M, Phys. Rev. A 46 3198
16. Goldstein H 1980 Classical Mechanics (New York: Addison-Wesley)
17. Wolfram S 1991 Mathematica: A System for Doing Mathematics by Computer 2nd Edn (New York: Addison-Wesley)
18. Wattis J A D 1996 in preparation
19. Wattis J A D 1995 Physica D 82 333
20. MacKay R S and Aubry S 1994 Nonlinearity 7 1623
21. Wattis J A D 1993 J. Phys. A: Math. Gen. 26 1193
22. Rosenau P 1986 Phys. Lett. A 118 222