Generalized instability of periodic traveling waves in anharmonic monatomic chains

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

Volumn 233, Issue 4-6, 1997, Pages 383-390

  Rodríguez Achach, Manuel ^a   Pérez, Gabriel ^a  

^a DEPARTAMENTO DE FÍSICA APLICADA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS;

ANHARMONIC; EIGENVALUES; LENNARD JONES; MONATOMIC CHAINS; SCALING BEHAVIOR; STABILITY SPECTRUM; TRAVELING WAVE; ZONE BOUNDARIES;

STABILITY;

EID: 0001045722     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00489-1     Document Type: Article

References (21)

1. A.J. Sievers and S. Takeno, Phys. Rev. Lett. 61 (1988) 970.
2. S.A. Kiselev, S.R. Bickham and A.J. Sievers, Phys. Rev. B 48 (1993) 13508.
3. S. Takeno et al., Prog. Theor. Phys. Suppl. 94 (1988) 242; S. Takeno, J. Phys. Soc. Jpn. 59 (1990) 1571; S.R. Bickham and A.J. Sievers, Phys. Rev. B 43 (1991) 2339.
4. S. Takeno et al., Prog. Theor. Phys. Suppl. 94 (1988) 242; S. Takeno, J. Phys. Soc. Jpn. 59 (1990) 1571; S.R. Bickham and A.J. Sievers, Phys. Rev. B 43 (1991) 2339.
5. S. Takeno et al., Prog. Theor. Phys. Suppl. 94 (1988) 242; S. Takeno, J. Phys. Soc. Jpn. 59 (1990) 1571; S.R. Bickham and A.J. Sievers, Phys. Rev. B 43 (1991) 2339.
6. S.R. Bickham, A.J. Sievers and S. Takeno, Phys. Rev. B 45 (1992) 10344; S.R. Bickham, S.A. Kiselev and A.J. Sievers, Phys. Rev. B. 47 (1991) 14206.
7. S.R. Bickham, A.J. Sievers and S. Takeno, Phys. Rev. B 45 (1992) 10344; S.R. Bickham, S.A. Kiselev and A.J. Sievers, Phys. Rev. B. 47 (1991) 14206.
8. K.W. Sandusky and J.B. Page, Phys. Rev. B 50 (1994) 866.
9. E. Fermi, J. Pasta and S. Ulam, Los Alamos Scientific report, 1955 (unpublished); in: The collected papers of Enrico Fermi, Vol. 2 (University of Chicago Press, Chicago, 1965) p. 977.
10. E. Fermi, J. Pasta and S. Ulam, Los Alamos Scientific report, 1955 (unpublished); in: The collected papers of Enrico Fermi, Vol. 2 (University of Chicago Press, Chicago, 1965) p. 977.
11. N. Budinsky and T. Bountis, Physica D 8 (1983) 445.
12. D.J. Korteweg and G. de Vries, Phil. Mag. 39 (1895) 422; See also P.G. Drazin and R.S. Jonhson, Solitons: an introduction (Cambridge University Press).
13. D.J. Korteweg and G. de Vries, Phil. Mag. 39 (1895) 422; See also P.G. Drazin and R.S. Jonhson, Solitons: an introduction (Cambridge University Press).
14. M. Remoissenet, Phys. Rev. B 33 (1986) 2386.
15. M. Toda, Theory of Non-linear Lattices (Springer, New York, 1981).
16. Y. Kosevich, Phys. Rev. Lett. 71 (1993) 2058.
17. V.M. Burlakov, S.A. Darmanyan and V.N. Pirkov, JETP 81 (1995) 496; Phys. Rev. B 54 (1996) 3257.
18. V.M. Burlakov, S.A. Darmanyan and V.N. Pirkov, JETP 81 (1995) 496; Phys. Rev. B 54 (1996) 3257.
19. M. Rodriguez-Achach and G. Perez, to appear in Rev. Mex. Fis. 42 (1996) 878.
20. A.H. Nayfeh and D.T. Mook, Non-linear Oscillations (Wiley, New York, 1995).
21. P. Poggi and S. Ruffo, preprint chao-dyn/9510017 at Los Alamos e-print repository xyz (http://xyz.lanl.gov) (1995).