RSS feeds
РусскийEnglish
Issue 11, 2025
Volume year page
Issues Authors PACS Subscription For authors

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 (86) ↓ 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 (11) 1637 (2023) [Khairullina R R, Khusnutdinoff R M Izvestiâ Akademii Nauk SSSR. Seriâ Fizičeskaâ 87 (11) 1607 (2023)]
  3. Bakhtin V K, Gurbatov S N et al Akustičeskij žurnal 69 (3) 295 (2023)
  4. Bazylenko V A, Rudenko O V Doklady Rossijskoj Akademii Nauk. Fizika, Tehničeskie Nauki 510 (1) 3 (2023)
  5. Gusev V A, Rudenko O V Akustičeskij žurnal 69 (3) 304 (2023)
  6. Bazylenko V A, Rudenko O V Dokl. Phys. 68 (5) 141 (2023)
  7. Bakhtin V K, Gurbatov S N et al Acoust. Phys. 69 (3) 309 (2023)
  8. Gusev V A, Rudenko O V Acoust. Phys. 69 (3) 318 (2023)
  9. Rudenko O V Phys. Wave Phen. 30 (2) 73 (2022)
  10. Grimalsky V, Rapoport Yu et al Journal Of Atmospheric And Solar-Terrestrial Physics 227 105774 (2022)
  11. Rudenko O V Wave Motion 113 102990 (2022)
  12. Akhmetzyanov A V, Samokhin A V Autom Remote Control 83 (5) 721 (2022)
  13. Gurbatov S N, Vyugin P N et al Acoust. Phys. 67 (3) 237 (2021)
  14. Rudenko O V, Makov Yu N Acoust. Phys. 67 (1) 1 (2021)
  15. Kovalev V F Symmetries and Applications of Differential Equations Nonlinear Physical Science Chapter 1 (2021) p. 1
  16. Rudenko O V Dokl. Phys. 65 (7) 238 (2020)
  17. Akhmetzyanov A, Samokhin A, Yaroshenko Y 2020 13th International Conference "Management of large-scale system development" (MLSD), (2020) p. 1
  18. Gurbatov S N, Rudenko O V, Tyurina A V Wave Motion 95 102519 (2020)
  19. Rudenko O V Acoust. Phys. 65 (6) 677 (2019)
  20. Gurbatov S, Deryabin M et al Journal Of Sound And Vibration 439 208 (2019)
  21. Rudenko O V, Hedberg C M Acoust. Phys. 64 (4) 422 (2018)
  22. Gurbatov S N, Rudenko O V, Tyurina A V Acoust. Phys. 64 (5) 555 (2018)
  23. Rudenko O V, Gurbatov S N Dokl. Math. 97 (1) 95 (2018)
  24. Efimov V B Uspekhi Fizicheskikh Nauk 188 (10) (2018)
  25. Efimov V B Phys.-Usp. 61 (10) 929 (2018)
  26. Rudenko O V, Gurbatov S N, Tyurina A V Wave Motion 82 20 (2018)
  27. Rapoport Yu G, Cheremnykh O K et al Ann. Geophys. 35 (1) 53 (2017)
  28. Samokhin A Differential Geometry And Its Applications 54 91 (2017)
  29. Rudenko O V Dokl. Math. 96 (1) 399 (2017)
  30. Gurbatov S N, Derybin M S et al Acoust. Phys. 63 (3) 260 (2017)
  31. Gurbatov S N, Deryabin M S et al Radiophys Quantum El 59 (10) 794 (2017)
  32. Rudenko O V, Hedberg C M Nonlinear Dyn 89 (3) 1905 (2017)
  33. Samokhin A Journal Of Geometry And Physics 113 250 (2017)
  34. Hedberg C M, Rudenko O V Nonlinear Dyn 90 (3) 2083 (2017)
  35. Rudenko O V Dokl. Math. 94 (3) 703 (2016)
  36. Rudenko O V, Gurbatov S N Acoust. Phys. 62 (4) 418 (2016)
  37. Samokhin A V, Samokhin A V Teoreticheskaya Matematicheskaya Fizika 188 (3) 470 (2016) [Samokhin A V Theor Math Phys 188 (3) 1371 (2016)]
  38. Rudenko O V Acoust. Phys. 62 (1) 46 (2016)
  39. Rudenko O V, Hedberg C M Nonlinear Dyn 85 (2) 767 (2016)
  40. Rudenko O V, Hedberg C M Acoust. Phys. 61 (1) 28 (2015)
  41. Gurbatov S N, Rudenko O V Radiophys Quantum El 58 (7) 463 (2015)
  42. Rudenko O V, Hedberg C M Dokl. Math. 91 (2) 232 (2015)
  43. Samokhin A Journal Of Geometry And Physics 85 177 (2014)
  44. Perelomova A Can. J. Phys. 92 (5) 401 (2014)
  45. Rudenko O V Uspekhi Fizicheskikh Nauk 183 (7) 719 (2013) [Rudenko O V Phys.-Usp. 56 (7) 683 (2013)]
  46. Gusev V A, Rudenko O V Acoust. Phys. 59 (1) 45 (2013)
  47. Chunchuzov I P, Kulichkov S N, Firstov P P Izv. Atmos. Ocean. Phys. 49 (3) 258 (2013)
  48. Koshevaya S, Grimalsky V et al NS 04 (08) 652 (2012)
  49. Efimov V B, Ganshin A N, McClintock P V E Phys. Rev. B 86 (5) (2012)
  50. Kovalev V F, Rudenko O V Acoust. Phys. 58 (3) 269 (2012)
  51. Karzova M M, Averiyanov M V et al Acoust. Phys. 58 (1) 81 (2012)
  52. Gusev V A Acoust. Phys. 57 (5) 598 (2011)
  53. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 11 (2011) p. 389
  54. Ibragimov N H, Meleshko S V, Rudenko O V J. Phys. A: Math. Theor. 44 (31) 315201 (2011)
  55. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 8 (2011) p. 271
  56. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 9 (2011) p. 309
  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 (3) 271 (2010)
  59. Rudenko O V, Shvartsburg A B Acoust. Phys. 56 (4) 429 (2010)
  60. Rudenko O V Acoust. Phys. 56 (4) 457 (2010)
  61. Vos H J, Goertz D E, de Jong N The Journal of the Acoustical Society of America 127 (3) 1208 (2010)
  62. Rudenko O V Acoust. Phys. 55 (1) 27 (2009)
  63. Kostin I, Panasenko G SIAM J. Math. Anal. 40 (2) 699 (2008)
  64. Efimov V B, Ganshin A, McClintock P V E Phys. Rev. E 78 (6) (2008)
  65. Makov Yu N, Sánchez-Morcillo V J et al Ultrasonics 48 (8) 678 (2008)
  66. Koshevaya S, Grimalsky V et al Tectonophysics 431 (1-4) 241 (2007)
  67. Rudenko O V, Hedberg C M, Enflo B O Acoust. Phys. 53 (4) 455 (2007)
  68. Rudenko O V Uspekhi Fizicheskikh Nauk 177 (4) 374 (2007)
  69. Rudenko O V Uspekhi Fizicheskikh Nauk 176 (1) 77 (2006)
  70. Makov Y N, Espinosa V et al The Journal of the Acoustical Society of America 119 (6) 3618 (2006)
  71. Kostin I, Panasenko G Comptes Rendus. Mécanique 334 (4) 220 (2006)
  72. Koshevaya S V, Grimalsky V V et al Phys. Scr. 72 (1) 91 (2005)
  73. 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
  74. Grimalsky V V, Koshevaya S V et al Kosm. Nauka Tehnol. 11 (5-6) 35 (2005)
  75. Rudenko O V, Sapozhnikov O A Uspekhi Fizicheskikh Nauk 174 (9) 973 (2004)
  76. Sánchez-Morcillo V J The Journal of the Acoustical Society of America 115 (1) 111 (2004)
  77. Koshevaya S V, Grimalsky V V et al Phys. Scr. 70 (1) 72 (2004)
  78. Bednařík M, Koníček P Czech J Phys 54 (3) 349 (2004)
  79. Koshevaya S, Hayakawa M et al Physics And Chemistry Of The Earth, Parts A/B/C 29 (4-9) 599 (2004)
  80. Grimalsky V V, Koshevaya S V et al Phys. Scr. 67 (5) 453 (2003)
  81. Rudenko O V Radiophysics And Quantum Electronics 46 (5-6) 338 (2003)
  82. Drobzheva Ya V, Krasnov V M Acoust. Phys. 47 (5) 556 (2001)
  83. Enflo B O Acoust. Phys. 46 (6) 728 (2000)
  84. Makov Yu N Acoust. Phys. 46 (5) 596 (2000)
  85. Sarvazyan A P, Rudenko O V et al Ultrasound In Medicine & Biology 24 (9) 1419 (1998)
  86. Osipov V Yu Tech. Phys. 43 (9) 1075 (1998)
© 1918–2025 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions