High-speed kinks in a generalized discrete phi(4) model
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Dmitriev, Sergey V.Khare, Avinash
Kevrekidis, Panayotis G.
Saxena, Avadh
Hadžievski, Ljupčo
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We consider a generalized discrete phi(4) model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The constructed exact moving solutions are dependent on the specific value of the propagation velocity. We demonstrate that in this class of models, given a specific velocity, the problem of finding the exact moving solution is integrable. Namely, this problem originally expressed as a three-point map can be reduced to a two-point map, from which the exact moving solutions can be derived iteratively. It was also found that these high-speed kinks can be stable and robust against perturbations introduced in the initial conditions.
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Physical Review E, 2008, 77, 5
DOI: 10.1103/PhysRevE.77.056603
ISSN: 1539-3755
PubMed: 18643182
WoS: 000256885500065
Scopus: 2-s2.0-43449110911
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VinčaTY - JOUR AU - Dmitriev, Sergey V. AU - Khare, Avinash AU - Kevrekidis, Panayotis G. AU - Saxena, Avadh AU - Hadžievski, Ljupčo PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3466 AB - We consider a generalized discrete phi(4) model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The constructed exact moving solutions are dependent on the specific value of the propagation velocity. We demonstrate that in this class of models, given a specific velocity, the problem of finding the exact moving solution is integrable. Namely, this problem originally expressed as a three-point map can be reduced to a two-point map, from which the exact moving solutions can be derived iteratively. It was also found that these high-speed kinks can be stable and robust against perturbations introduced in the initial conditions. T2 - Physical Review E T1 - High-speed kinks in a generalized discrete phi(4) model VL - 77 IS - 5 DO - 10.1103/PhysRevE.77.056603 ER -
@article{ author = "Dmitriev, Sergey V. and Khare, Avinash and Kevrekidis, Panayotis G. and Saxena, Avadh and Hadžievski, Ljupčo", year = "2008", abstract = "We consider a generalized discrete phi(4) model and demonstrate that it can support exact moving kink solutions in the form of tanh with an arbitrarily large velocity. The constructed exact moving solutions are dependent on the specific value of the propagation velocity. We demonstrate that in this class of models, given a specific velocity, the problem of finding the exact moving solution is integrable. Namely, this problem originally expressed as a three-point map can be reduced to a two-point map, from which the exact moving solutions can be derived iteratively. It was also found that these high-speed kinks can be stable and robust against perturbations introduced in the initial conditions.", journal = "Physical Review E", title = "High-speed kinks in a generalized discrete phi(4) model", volume = "77", number = "5", doi = "10.1103/PhysRevE.77.056603" }
Dmitriev, S. V., Khare, A., Kevrekidis, P. G., Saxena, A.,& Hadžievski, L.. (2008). High-speed kinks in a generalized discrete phi(4) model. in Physical Review E, 77(5). https://doi.org/10.1103/PhysRevE.77.056603
Dmitriev SV, Khare A, Kevrekidis PG, Saxena A, Hadžievski L. High-speed kinks in a generalized discrete phi(4) model. in Physical Review E. 2008;77(5). doi:10.1103/PhysRevE.77.056603 .
Dmitriev, Sergey V., Khare, Avinash, Kevrekidis, Panayotis G., Saxena, Avadh, Hadžievski, Ljupčo, "High-speed kinks in a generalized discrete phi(4) model" in Physical Review E, 77, no. 5 (2008), https://doi.org/10.1103/PhysRevE.77.056603 . .