Stability of one-dimensional array solitons
Abstract
The array soliton stability in the discrete nonlinear Schrodinger equation with dispersion for periodic boundary conditions is studied. The linear growth rate dependence on the discrete wave number and soliton amplitude is calculated from the linearized eigenvalue problem using the variational method. In addition, the eigenvalue problem is solved numerically by shooting method and a good agreement with the analytical results is found. It is proved numerically that the results fur the instability threshold fur the circular array coincides with the quasicollapse threshold for the case of open arrays With initial pulses in a form of array solitons.
Source:
Physical Review E, 2002, 65, 2
DOI: 10.1103/PhysRevE.65.026604
ISSN: 2470-0045; 2470-0053
PubMed: 11863675
WoS: 000174038300100
Scopus: 2-s2.0-37649032203
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VinčaTY - JOUR AU - Stepić, Milutin AU - Hadžievski, Ljupčo AU - Škorić, Miloš M. PY - 2002 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2502 AB - The array soliton stability in the discrete nonlinear Schrodinger equation with dispersion for periodic boundary conditions is studied. The linear growth rate dependence on the discrete wave number and soliton amplitude is calculated from the linearized eigenvalue problem using the variational method. In addition, the eigenvalue problem is solved numerically by shooting method and a good agreement with the analytical results is found. It is proved numerically that the results fur the instability threshold fur the circular array coincides with the quasicollapse threshold for the case of open arrays With initial pulses in a form of array solitons. T2 - Physical Review E T1 - Stability of one-dimensional array solitons VL - 65 IS - 2 DO - 10.1103/PhysRevE.65.026604 ER -
@article{ author = "Stepić, Milutin and Hadžievski, Ljupčo and Škorić, Miloš M.", year = "2002", abstract = "The array soliton stability in the discrete nonlinear Schrodinger equation with dispersion for periodic boundary conditions is studied. The linear growth rate dependence on the discrete wave number and soliton amplitude is calculated from the linearized eigenvalue problem using the variational method. In addition, the eigenvalue problem is solved numerically by shooting method and a good agreement with the analytical results is found. It is proved numerically that the results fur the instability threshold fur the circular array coincides with the quasicollapse threshold for the case of open arrays With initial pulses in a form of array solitons.", journal = "Physical Review E", title = "Stability of one-dimensional array solitons", volume = "65", number = "2", doi = "10.1103/PhysRevE.65.026604" }
Stepić, M., Hadžievski, L.,& Škorić, M. M.. (2002). Stability of one-dimensional array solitons. in Physical Review E, 65(2). https://doi.org/10.1103/PhysRevE.65.026604
Stepić M, Hadžievski L, Škorić MM. Stability of one-dimensional array solitons. in Physical Review E. 2002;65(2). doi:10.1103/PhysRevE.65.026604 .
Stepić, Milutin, Hadžievski, Ljupčo, Škorić, Miloš M., "Stability of one-dimensional array solitons" in Physical Review E, 65, no. 2 (2002), https://doi.org/10.1103/PhysRevE.65.026604 . .