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Solitons in nondegenerate bistable systems

 a,  a,  a,  b, c
a Semenov Federal Research Center for Chemical Physics, Russian Academy of Sciences, ul. Kosygina, 4, Moscow, 119991, Russian Federation
b Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation
c The Johns Hopkins University, Baltimore, Maryland, USA

Soliton-like elementary excitations in bistable systems with nondegenerate equilibrium positions are considered. Models of specific physical systems, which can be described on the basis of this approach by a single Hamiltonian, are discussed. A detailed analysis of continuum equations of motion demonstrates the existence in such systems both of nontopological solitons participating in energy transfer and of topological solitons responsible for transitions between different equilibrium positions (transfer of a state). The results of a computer simulation are compared with the results of analytic investigations.

Fulltext pdf (623 KB)
Fulltext is also available at DOI: 10.1070/PU1994v037n09ABEH000043
PACS: 64.60.−i
DOI: 10.1070/PU1994v037n09ABEH000043
URL: https://ufn.ru/en/articles/1994/9/b/
A1994PQ23800002
Citation: Manevich L I, Savin A V, Smirnov V V, Volkov S N "Solitons in nondegenerate bistable systems" Phys. Usp. 37 859–879 (1994)
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Оригинал: Маневич Л И, Савин А В, Смирнов В В, Волков С Н «Солитоны в невырожденных бистабилъных системах» УФН 164 937–958 (1994); DOI: 10.3367/UFNr.0164.199409b.0937

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  1. Gorbushin N, Vainchtein A, Truskinovsky L Phys. Rev. E 106 (2) (2022)
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  4. Shiroky I B, Gendelman O V Advanced Structured Materials Vol. Problems of Nonlinear Mechanics and Physics of MaterialsShockwaves and Kinks in Exothermic Nonlinear Chains94 Chapter 19 (2019) p. 333
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  8. Porubov A V Advanced Structured Materials Vol. Advances in Mechanics of Microstructured Media and StructuresTwo-Dimensional Modeling of Diatomic Lattice87 Chapter 15 (2018) p. 263
  9. Volkov S N 44 701 (2018)
  10. Shikhovtseva E S, Nazarov V N Biophysical Chemistry 214-215 47 (2016)
  11. Smirnov V V, Gendelman O V, Manevitch L I Phys. Rev. E 89 (5) (2014)
  12. Porubov A Arch Appl Mech 84 1533 (2014)
  13. Shikhovtseva E S, Nazarov V N J. Phys. A: Math. Theor. 46 225202 (2013)
  14. Manevitch L I, Gendelman O V Tractable Models of Solid Mechanics Foundations Of Engineering Mechanics Chapter 3 (2011) p. 167
  15. Volkov S N, Solov’yov A V Eur. Phys. J. D 54 657 (2009)
  16. Shikhovtseva E S, Nazarov V N Jetp Lett. 86 497 (2007)
  17. Aero E, Fradkov A et al Physics Letters A 353 24 (2006)
  18. Volkov S N J Biol Phys 31 323 (2005)
  19. Musienko A I, Manevich L I Uspekhi Fizicheskikh Nauk 174 861 (2004)
  20. Manevitch L I, Sigalov G M, Savin A V Phys. Rev. E 65 (3) (2002)
  21. Savin A V, Manevitch L I Phys. Rev. B 63 (22) (2001)
  22. Manevitch L I Normal Modes and Localization in Nonlinear Systems Chapter 6 (2001) p. 95
  23. Machnikowski P, Magnuszewski P, Radosz A Phys. Rev. E 63 (1) (2000)
  24. Savin A V, Manevich L I et al Uspekhi Fizicheskikh Nauk 169 255 (1999)
  25. Voronkov É N Jetp Lett. 70 72 (1999)
  26. Manevitch L I Mathematical Models of Non-Linear Excitations, Transfer, Dynamics, and Control in Condensed Systems and Other Media Chapter 24 (1999) p. 269
  27. Savin A V, Manevitch L I Phys. Rev. B 58 11386 (1998)
  28. Hovorun D M Biopolym. Cell 13 39 (1997)
  29. Romanovsky Yu M Lecture Notes In Physics Vol. Stochastic DynamicsSome problems of cluster dynamics of biological macromolecules484 Chapter 14 (1997) p. 140
  30. Volkov S N Physics Letters A 224 93 (1996)
  31. Hovorun D M, Mishchuk Ya R, Kondratyuk I V Biopolym. Cell 12 13 (1996)
  32. Manevich L I, Smirnov V V J. Phys.: Condens. Matter 7 255 (1995)
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