RSS feeds
РусскийEnglish
Issue 4, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

2004

 / 

September

←  →

Reviews of topical problems


Self-action effects for wave beams containing shock fronts

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

The review covers experimental and theoretical studies of the self-action effects observed for intense wave beams with sawtooth time profiles. For sawtooth waves in quadratic nonlinear media, inertial self-focusing and defocusing processes caused by the formation of acoustic streaming and heating due to nonlinear energy dissipation at shock fronts are discussed. Self-refraction of shock-wave pulses is considered, which leads, in particular, to the saturation of the maximal field achieved by focusing. For cubic nonlinear media, where a sawtooth wave contains both compression and rarefaction shocks, the self-focusing process is studied in the presence of its strong competition with nonlinear damping. New mathematical models, their symmetry properties and exact solutions, and the results of numerical simulation are described. A general picture of the state of the art in this field is given.

Fulltext pdf (445 KB)
Fulltext is also available at DOI: 10.1070/PU2004v047n09ABEH001865
PACS: 43.25.+y, 47.40.Nm, 87.54.Hk (all)
DOI: 10.1070/PU2004v047n09ABEH001865
URL: https://ufn.ru/en/articles/2004/9/c/
000226203600003
2004PhyU...47..907R
Citation: Rudenko O V, Sapozhnikov O A "Self-action effects for wave beams containing shock fronts" Phys. Usp. 47 907–922 (2004)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Руденко О В, Сапожников О А «Явления самовоздействия пучков волн, содержащих ударные фронты» УФН 174 973–989 (2004); DOI: 10.3367/UFNr.0174.200409c.0973

References (85) Cited by (38) ↓ Similar articles (20)

  1. Sapozhnikov O A Power Ultrasonics (2023) p. 7
  2. Rudenko O V Radiophys Quantum El 66 321 (2023)
  3. Nefedov N, Polezhaeva E, Levashova N Axioms 12 253 (2023)
  4. Rudenko O V Wave Motion 113 102990 (2022)
  5. Mironov V A, Fadeev D A Radiophys Quantum El 65 32 (2022)
  6. Rudenko O V Phys. Wave Phen. 30 73 (2022)
  7. Radostin A V, Kurkin A A Radiophys Quantum El 63 55 (2020)
  8. Pavlenko O V Dokl. Earth Sc. 484 71 (2019)
  9. Vasil’eva O A, Lapshin E A, Rudenko O V Acoust. Phys. 65 23 (2019)
  10. Nazarov V, Kolpakov A, Radostin A J Nondestruct Eval 38 (1) (2019)
  11. Rudenko O V, Hedberg C M, Ibragimov R N Math. Model. Nat. Phenom. 13 18 (2018)
  12. Rudenko O V Dokl. Math. 96 399 (2017)
  13. Pavlenko O V Pure Appl. Geophys. 174 2909 (2017)
  14. Yuldashev P V, Ollivier S et al 142 3402 (2017)
  15. Rudenko O V Dokl. Math. 94 468 (2016)
  16. Kostin V M, Belyaev G G et al Geomagn. Aeron. 55 246 (2015)
  17. Sapozhnikov O A Power Ultrasonics (2015) p. 9
  18. Rudenko O V, Hedberg C M Acoust. Phys. 61 28 (2015)
  19. Perelomova A Can. J. Phys. 92 401 (2014)
  20. Perelomova A Applied Mathematical Modelling 38 5684 (2014)
  21. Perelomova A 12 (5) (2014)
  22. Deryabin M S, Kas’yanov D A, Kurin V V Radiophys Quantum El 57 260 (2014)
  23. Karzova M M, Averiyanov M V et al Acoust. Phys. 58 81 (2012)
  24. Ibragimov N H, Ibragimov R N International Journal Of Non-Linear Mechanics 47 46 (2012)
  25. Gusev V A Acoust. Phys. 57 598 (2011)
  26. Ibragimov N H, Meleshko S V, Rudenko O V J. Phys. A: Math. Theor. 44 315201 (2011)
  27. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 10 (2011) p. 357
  28. Rudenko O V, Solodov E V Acoust. Phys. 57 51 (2011)
  29. Gurbatov S N, Rudenko O V, Saichev A I Waves and Structures in Nonlinear Nondispersive Media Nonlinear Physical Science Chapter 11 (2011) p. 389
  30. Rudenko O V Acoust. Phys. 56 457 (2010)
  31. Rudenko O V Acoust. Phys. 55 27 (2009)
  32. Wochner M S, Hamilton M F et al 123 2488 (2008)
  33. Acoust. Phys. 54 593 (2008)
  34. V’yugin P N, Gryaznova I Yu et al Acoust. Phys. 53 145 (2007)
  35. Balakin A A, Litvak A G et al J. Exp. Theor. Phys. 104 363 (2007)
  36. Rudenko O V, Hedberg C M, Enflo B O Acoust. Phys. 53 455 (2007)
  37. Zharova N A, Litvak A G, Mironov V A J. Exp. Theor. Phys. 103 15 (2006)
  38. Litvak A G, Mironov V A, Skobelev S A Jetp Lett. 82 105 (2005)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions