Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method

@article{49389,
   author = {Blaschke, Filip and Karpíšek, Ondřej Nicolas and Benes, Petr},
   article_number = {6},
   doi = {http://dx.doi.org/10.1093/ptep/ptaa073},
   keywords = {Peyrard-Bishop model},
   language = {eng},
   issn = {2050-3911},
   journal = {Progress of Theoretical and Experimental Physics},
   title = {Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method},
   url = {https://academic.oup.com/ptep/article/2020/6/063J02/5859516},
   volume = {2020},
   year = {2020}
}

TY  - JOUR
ID  - 49389
AU  - Blaschke, Filip - Karpíšek, Ondřej Nicolas - Benes, Petr
PY  - 2020
TI  - Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method
JF  - Progress of Theoretical and Experimental Physics
VL  - 2020
IS  - 6
SP  - "063J02-1"-"063J02-21"
EP  - "063J02-1"-"063J02-21"
SN  - 20503911
KW  - Peyrard-Bishop model
UR  - https://academic.oup.com/ptep/article/2020/6/063J02/5859516
N2  - We investigate solitons in the Peyrard-Bishop model of a DNA molecule using Renormalization Group methods which provide a systematic way for perturbation analysis. Small amplitude expansion is carried out in both the continuous and discrete limits. We review exact solutions for the continuous model. Further, we discuss the reliability of the solitonic solutions and argue that the envelope should propagate with a group velocity, contrary to previous proposals.
ER  - 

BLASCHKE, Filip, Ondřej Nicolas KARPÍŠEK a Petr BENES. Solitons in the Peyrard-Bishop model of DNA and the Renormalization Group method. \textit{Progress of Theoretical and Experimental Physics}. 2020, roč.~2020, č.~6, s.~''063J02-1''-''063J02-21'', 21 s. ISSN~2050-3911. Dostupné z: https://dx.doi.org/10.1093/ptep/ptaa073.