Issues

 / 

1995

 / 

September

  

Reviews of topical problems


Nonlinear sawtooth-shaped waves


Lomonosov Moscow State University, Faculty of Physics, Leninskie Gory 1 build. 2, Moscow, 119991, Russian Federation

This survey is devoted to experimental and theoretical results on interaction and self-action processes of strongly distorted waves containing shock fronts. Such sawtooth-shaped disturbances can be formed during the propagation of the wave through media where the nonlinearity predominates over competitive factors like dispersion, diffraction, and absorption. The specificity of nonlinear processes for sawtooth-shaped waves is particularly emphasised. The recently observed phenomena such as self-action of beams, self-refraction of shock pulses and saturation of the signal in focus, as well as current applied problems, are described.

Fulltext pdf (755 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n09ABEH000104
PACS: 43.25.+y
DOI: 10.1070/PU1995v038n09ABEH000104
URL: https://ufn.ru/en/articles/1995/9/b/
A1995TB73200002
Citation: Rudenko O V "Nonlinear sawtooth-shaped waves" Phys. Usp. 38 965–989 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Руденко О В «Нелинейные пилообразные волны» УФН 165 1011–1036 (1995); DOI: 10.3367/UFNr.0165.199509b.1011

References (149) Cited by (84) ↓ Similar articles (20)

  1. Maxwell A D Optics And Lasers In Engineering 181 108361 (2024)
  2. Khairullina R R, Khusnutdinoff R M Bull. Russ. Acad. Sci. Phys. 87 1637 (2023)
  3. Bazylenko V A, Rudenko O V Dokl. Phys. 68 141 (2023)
  4. Bazylenko V A, Rudenko O V Doklady Rossijskoj Akademii Nauk. Fizika, Tehničeskie Nauki 510 3 (2023)
  5. Bakhtin V K, Gurbatov S N et al Acoust. Phys. 69 309 (2023)
  6. Gusev V A, Rudenko O V Acoust. Phys. 69 318 (2023)
  7. Khairullina R R, Khusnutdinoff R M Izvestiâ Akademii Nauk SSSR. Seriâ Fizičeskaâ 87 1607 (2023)
  8. Gusev V A, Rudenko O V Akustičeskij žurnal 69 304 (2023)
  9. Bakhtin V K, Gurbatov S N et al Akustičeskij žurnal 69 295 (2023)
  10. Akhmetzyanov A V, Samokhin A V Autom Remote Control 83 721 (2022)
  11. Grimalsky V, Rapoport Yu et al Journal Of Atmospheric And Solar-Terrestrial Physics 227 105774 (2022)
  12. Rudenko O V Phys. Wave Phen. 30 73 (2022)
  13. Rudenko O V Wave Motion 113 102990 (2022)
  14. Gurbatov S N, Vyugin P N et al Acoust. Phys. 67 237 (2021)
  15. Rudenko O V, Makov Yu N Acoust. Phys. 67 1 (2021)
  16. Kovalev V F Symmetries and Applications of Differential Equations Nonlinear Physical Science Chapter 1 (2021) p. 1
  17. Gurbatov S N, Rudenko O V, Tyurina A V Wave Motion 95 102519 (2020)
  18. Rudenko O V Dokl. Phys. 65 238 (2020)
  19. Akhmetzyanov A, Samokhin A, Yaroshenko Y 2020 13th International Conference "Management of large-scale system development" (MLSD), (2020) p. 1
  20. Rudenko O V Acoust. Phys. 65 677 (2019)
  21. Gurbatov S, Deryabin M et al Journal Of Sound And Vibration 439 208 (2019)
  22. Rudenko O V, Hedberg C M Acoust. Phys. 64 422 (2018)
  23. Rudenko O V, Gurbatov S N, Tyurina A V Wave Motion 82 20 (2018)
  24. Gurbatov S N, Rudenko O V, Tyurina A V Acoust. Phys. 64 555 (2018)
  25. Rudenko O V, Gurbatov S N Dokl. Math. 97 95 (2018)
  26. Efimov V B Uspekhi Fizicheskikh Nauk 188 (10) (2018)
  27. Rudenko O V, Hedberg C M Nonlinear Dyn 89 1905 (2017)
  28. Gurbatov S N, Deryabin M S et al Radiophys Quantum El 59 794 (2017)
  29. Hedberg C M, Rudenko O V Nonlinear Dyn 90 2083 (2017)
  30. Gurbatov S N, Derybin M S et al Acoust. Phys. 63 260 (2017)
  31. Rudenko O V Dokl. Math. 96 399 (2017)
  32. Samokhin A Differential Geometry And Its Applications 54 91 (2017)
  33. Samokhin A Journal Of Geometry And Physics 113 250 (2017)
  34. Rapoport Yu G, Cheremnykh O K et al Ann. Geophys. 35 53 (2017)
  35. Rudenko O V, Gurbatov S N Acoust. Phys. 62 418 (2016)
  36. Rudenko O V Dokl. Math. 94 703 (2016)
  37. Rudenko O V, Hedberg C M Nonlinear Dyn 85 767 (2016)
  38. Samokhin A V, Samokhin A V Teoreticheskaya Matematicheskaya Fizika 188 470 (2016) [Samokhin A V Theor Math Phys 188 1371 (2016)]
  39. Rudenko O V Acoust. Phys. 62 46 (2016)
  40. Gurbatov S N, Rudenko O V Radiophys Quantum El 58 463 (2015)
  41. Rudenko O V, Hedberg C M Dokl. Math. 91 232 (2015)
  42. Rudenko O V, Hedberg C M Acoust. Phys. 61 28 (2015)
  43. Perelomova A Can. J. Phys. 92 401 (2014)
  44. Samokhin A Journal Of Geometry And Physics 85 177 (2014)
  45. Rudenko O V Uspekhi Fizicheskikh Nauk 183 719 (2013) [Rudenko O V Phys.-Usp. 56 683 (2013)]
  46. Chunchuzov I P, Kulichkov S N, Firstov P P Izv. Atmos. Ocean. Phys. 49 258 (2013)
  47. Gusev V A, Rudenko O V Acoust. Phys. 59 45 (2013)
  48. Karzova M M, Averiyanov M V et al Acoust. Phys. 58 81 (2012)
  49. Koshevaya S, Grimalsky V et al NS 04 652 (2012)
  50. Kovalev V F, Rudenko O V Acoust. Phys. 58 269 (2012)
  51. Efimov V B, Ganshin A N, McClintock P V E Phys. Rev. B 86 (5) (2012)
  52. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 11 (2011) p. 389
  53. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 8 (2011) p. 271
  54. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 9 (2011) p. 309
  55. Gusev V A Acoust. Phys. 57 598 (2011)
  56. Ibragimov N H, Meleshko S V, Rudenko O V J. Phys. A: Math. Theor. 44 315201 (2011)
  57. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 10 (2011) p. 357
  58. Gusev V A Acoust. Phys. 56 271 (2010)
  59. Rudenko O V Acoust. Phys. 56 457 (2010)
  60. Rudenko O V, Shvartsburg A B Acoust. Phys. 56 429 (2010)
  61. Vos H J, Goertz D E, de Jong N 127 1208 (2010)
  62. Rudenko O V Acoust. Phys. 55 27 (2009)
  63. Makov Yu N, Sánchez-Morcillo V J et al Ultrasonics 48 678 (2008)
  64. Kostin I, Panasenko G SIAM J. Math. Anal. 40 699 (2008)
  65. Efimov V B, Ganshin A, McClintock P V E Phys. Rev. E 78 (6) (2008)
  66. Rudenko O V, Hedberg C M, Enflo B O Acoust. Phys. 53 455 (2007)
  67. Rudenko O V Uspekhi Fizicheskikh Nauk 177 374 (2007)
  68. Koshevaya S, Grimalsky V et al Tectonophysics 431 241 (2007)
  69. Kostin I, Panasenko G 334 220 (2006)
  70. Makov Y N, Espinosa V et al 119 3618 (2006)
  71. Rudenko O V Uspekhi Fizicheskikh Nauk 176 77 (2006)
  72. Grimalsky V V, Koshevaya S V et al Kosm. Nauka Tehnol. 11 35 (2005)
  73. Koshevaya S V, Grimalsky V V et al Phys. Scr. 72 91 (2005)
  74. Vol. IEEE Ultrasonics Symposium, 2005.Strong on-axis focal shift and its nonlinear variation in low-fresnel-number ultrasound beamsY.N.MakovV.EspinosaV.J.Sanchez-MorcilloJ.RamisJ.CruanesF.Camarena2 (2005) p. 1288
  75. Koshevaya S, Hayakawa M et al Physics And Chemistry Of The Earth, Parts A/B/C 29 599 (2004)
  76. Rudenko O V, Sapozhnikov O A Uspekhi Fizicheskikh Nauk 174 973 (2004)
  77. Sánchez-Morcillo V J 115 111 (2004)
  78. Koshevaya S V, Grimalsky V V et al Phys. Scr. 70 72 (2004)
  79. Grimalsky V V, Koshevaya S V et al Phys. Scr. 67 453 (2003)
  80. Drobzheva Ya V, Krasnov V M Acoust. Phys. 47 556 (2001)
  81. Enflo B O Acoust. Phys. 46 728 (2000)
  82. Makov Yu N Acoust. Phys. 46 596 (2000)
  83. Sarvazyan A P, Rudenko O V et al Ultrasound In Medicine & Biology 24 1419 (1998)
  84. Osipov V Yu Tech. Phys. 43 1075 (1998)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions