Effect of discreteness on a sine-Gordon three-soliton solution

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 246, Issue 1-2, 1998, Pages 129-134

  Dmitriev, S V ^a,b   Shigenari, T ^a   Vasiliev, A A ^c   Miroshnichenko, A E ^c  

^a UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^b Barnaul State Technical University   (Russian Federation)

^c TVER STATE UNIVERSITY   (Russian Federation)

Author keywords

Discreteness effect; Frenkel Kontorova chain; Inelastic collision; Many soliton solution; Sine Gordon equation; Stochastic instability

Indexed keywords

PLASMA COLLISION PROCESSES; SOLITONS; STOCHASTIC SYSTEMS; THERMOSTATS;

DISCRETENESS EFFECTS; FRENKEL-KONTOROVA CHAINS; INELASTIC COLLISION; SOLITON SOLUTIONS; STOCHASTIC INSTABILITY;

SINE-GORDON EQUATION;

EID: 0042138115     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(98)00459-9     Document Type: Article

References (26)

1. R. Hobart, V. Celli, J. Appl. Phys. 33 (1962) 60.
2. R. Hobart, J. Appl. Phys. 36 (1965) 1944.
3. Y. Ishimori, T. Munakata, J. Phys. Soc. Jpn 51 (1982) 3367.
4. D.W. McLaughlin, A.C. Scott, Phys. Rev. A 18 (1978) 1652.
5. C. Willis, M. El-Batanouny, P. Stancioff, Phys. Rev. B 33 (1986) 1904.
6. P. Stancioff, C. Willis, M. El-Batanouny, S. Burdick, Phys. Rev. B 33 (1986) 1912.
7. R. Boesch, C.R. Willis, M. El-Batanouny, Phys. Rev. B 40 (1989) 2284.
8. T.R. Koehler, A.R. Bishop, J.A. Krumhansl, J.R. Schrieffer, Solid State Commun. 17 (1975) 1515.
9. S. Aubry, J. Chem. Phys. 64 (1976) 3392.
10. S.E. Trullinger, M.D. Miller, R.A. Guyer, A.R. Bishop, F. Palmer, J.A. Krumhansl, Phys. Rev. Lett. 40 (1978) 206.
11. J.A. Combs, S. Yip, Phys. Rev. B 28, 6873 (1983); 29 (1984) 438.
12. J.A. Combs, S. Yip, Phys. Rev. B 28, 6873 (1983); 29 (1984) 438.
13. T. Munakata, Phys. Rev. A 45 (1992) 1230.
14. M. Peyrard, M. Remoissenet, Phys. Rev. B 26 (1982) 2886.
15. S. Takeno, S. Homma, J. Phys. Soc. Jpn 55 (1986) 65; 2547.
16. R. Boesch, M. Peyrard, Phys. Rev. B 43 (1991) 8491.
17. J.A.D. Wattis, Nonlinearity 9 (1996) 1583.
18. S.V. Dmitriev, L.V. Nauman, A.M. Wusatowska-Sarnek, M.D. Starostenkov, Phys. Stat. Sol. (b) 201 (1997) 89.
19. M. Peyrard, D.K. Campbell, Physica D 9 33 (1983).
20. F. Zhang, Yu. S. Kivshar, L. Vázquez, Phys. Rev. A 45 (1992) 6019.
21. Yu. S. Kivshar, B.A. Malomed, Rev. Mod. Phys. 61 (1989) 763.
22. S.V. Dmitriev, T. Shigenari, A.A. Vasiliev, K. Abe, Phys. Rev. B 55 (1997) 8155.
23. T. Kontorova, Ya. T. Frenkel, Zh. Eksp. Teor. Phys. 8 (1938) 1340.
24. R.K. Dodd, J.C. Eilbeck, J.D. Gibbon, H.C. Morries, Solitons and Nonlinear Wave Equations (Academic Press, London, 1982).
25. G.M. Zaslavsky, R.Z. Sagdeev, D.A. Usikov, A.A. Chernikov, Weak Chaos and Quasi-Regular Patterns (Cambridge Univ. Press, Cambridge, 1991).
26. E. Hairer, S.P. Nörsett, G. Wanner, Solving Ordinary Differential Equations. Nonstiff Problems (Springer, Berlin, 1993).