Moving discrete breathers in a Klein-Gordon chain with an impurity

Journal of Physics A: Mathematical and General

Volumn 35, Issue 49, 2002, Pages 10519-10530

  Cuevas, J ^a   Palmero, F ^a   Archilla, J F R ^a   Romero, F R ^a  

^a UNIVERSITY OF SEVILLE   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037073948     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/49/302     Document Type: Article

References (24)

1. MacKay R S and Aubry S 1994 Proof of existence of breathers for time-reversible or Hamiltonian networks of weakly coupled oscillators Nonlinearity 7 1623-43
2. Flach S and Willis C R 1998 Discrete breathers Phys. Rep. 295 181-264
3. Aubry S 1997 Breathers in nonlinear lattices: Existence, linear stability and quantization Physica D 103 201-50
4. 4 lattices Phys. Rev. Lett. 77 4776
5. Aubry S and Cretegny T 1998 Mobility and reactivity of discrete breathers Physica D 119 34
6. Cuevas J, Archilla J F R, Gaididei Yu B and Romero F R 2002 Moving breathers in a DNA model with competing short- and long-range dispersive interactions Physica D 163 106
7. Ibañes M, Sancho J M and Tsironis G P 2002 Dynamical properties of discrete breathers in curved chains with first and second neighbors interaction Phys. Rev. E 65 041902
8. Cuevas J, Palmero F, Archilla J F R and Romero F R 2002 Moving breathers in a bent DNA-related model Phys. Lett. A 299 221
9. Li Q, Pnevmatikos St, Economou E N and Soukoulis C M 1988 Lattice-soliton scattering in nonlinear atomic chains Phys. Rev. B 37 3534
10. Malomed B A 1985 Inelastic interactions of solitons in nearly integrable systems: I Physica D 15 374
11. Malomed B A 1985 Inelastic interactions of solitons in nearly integrable systems: II Phys. D 15 385
12. Zhang Fei 1998 Breather scattering by impurities in the sine-Gordon model Phys. Rev. E 58 2558
13. Fei Z, Kivshar Yu S and Vázquez L 1992 Resonant kink-impurity interactions in the sine-Gordon model Phys. Rev. A 45 6019
14. 4 model Phys. Rev. A 46 5214
15. Braun O M and Kivshar Yu S 1991 Nonlinear dynamics of the Frenkel-Kontorova model with impurities Phys. Rev. B 43 1060
16. Braun O M and Kivshar Yu S 1998 Nonlinear dynamics of the Frenkel-Kontorova model Phys. Rep. 306 1
17. Forinash K, Peyrard M and Malomed B A 1994 Interaction of discrete breathers with impurity modes Phys. Rev. E 49 3400
18. Archilla J F R, MacKay R S and Marín J L 1999 Discrete breathers and Anderson modes: two faces of the same phenomenon? Physica D 134 406-18
19. Cuevas J, Archilla J F R, Palmero F and Romero F 2001 Numerical study of two-dimensional disordered Klein-Gordon lattices with cubic soft anharmonicity J. Phys. A: Math. Gen. 34 L1-10
20. Peyrard M and Bishop A R 1989 Statistical mechanics of a nonlinear model for DNA denaturation Phys. Rev. Lett. 62 2755
21. Marín J L and Aubry S 1996 Breathers in nonlinear lattices: numerical calculation from the anticontinuous limit Nonlinearity 9 1501-28
22. Flach S 1996 Tangent bifurcation of band edge plane waves, dynamical symmetry breaking and vibrational localization Physica D 91 223
23. Ting J L and Peyrard M 1996 Effective breather trapping mechanism for DNA transcription Phys. Rev. E 53 1011
24. Salerno M and Kivshar Yu 1994 DNA promoters and nonlinear dynamics Phys. Lett. A 193 263