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

References (149) ↓ Cited by (83) Similar articles (20)

  1. Rudenko O V, Soluyan S I Teoreticheskie Osnovy Nelineinoi Akustiki (M.: Nauka, 1975); Rudenko O V, Soluyan S I Theoretical Foundations Of Nonlinear Acoustics (New York: Plenum, Consultants Bureau, 1977)
  2. Burov V A, Krasil’nikov V A Dokl. Akad. Nauk SSSR 118 (5) 920 (1958)
  3. Zarembo L K, Krasil’nikov V A, Shklovskaya-Kordi V V Dokl. Akad. Nauk SSSR 109 (4) 731 (1956); Zarembo L K, Krasil’nikov V A, Shklovskaya-Kordi V V Sov. Phys. Dokl. 1 434 (1957)
  4. Zarembo L K, Krasil’nikov V A Vvedenie V Nelineinuyu Akustiku (Introduction To Nonlinear Acoustics) (Moscow: Nauka, 1966)
  5. Naugol’nykh K A Moshchnye Ultrazvukovye Polya (High-Power Ultrasonic Fields) (Moscow: Nauka, 1967) p. 7
  6. Beyer R T Nonlinear Acoustics (USA: Naval Sea Systems Command, 1974)
  7. Rudenko O V, Sapozhnikov O A Vestn. Mosk. Univ. Fiz. Astron. 29 ((6)) 91 (1988); Rudenko O V, Sapozhnikov O A Mosc. Univ. Phys. Bull. 43 ((6)) 106 (1989)
  8. Karabutov A A, Rudenko O V, Sapozhnikov O A Akust. Zh. 35 ((1)) (67) (1989); Karabutov A A, Rudenko O V, Sapozhnikov O A Sov. Phys. Acoust. 35 ((1)) 40 (1989)
  9. Rudenko O V, Sagatov M M, Sapozhnikov O A Zh. Eksp. Teor. Fiz. 96 ((3 (9))) 808 (1990); Rudenko O V, Sagatov M M, Sapozhnikov O A Sov. Phys. JETP 71 ((3)) 449 (1990)
  10. Karabutov A A, Rudenko O V, Sapozhnikov O A Akust. Zh. 34 ((4)) 644 (1988); Karabutov A A, Rudenko O V, Sapozhnikov O A Sov. Phys. Acoust. 34 ((4)) 371 (1988)
  11. Rudenko O V Advances In Nonlinear Acoustics (Singapore: World Scientific, 1993) p. 3
  12. Rudenko O V, Sapozhnikov O A Kvantovaya Elektron. Mosk. 29 ((10)) 1028 (1993); Rudenko O V, Sapozhnikov O A Quantum Electron. 23 896 (1993)
  13. Rudenko O V, Sapozhnikov O A Zh. Eksp. Teor. Fiz. 106 ((2(8))) 395 (1994); J. Exp. Theor. Phys. 79 ((2)) 220 ((1994)])
  14. Musatov A G, Rudenko O V, Sapozhnikov O A Akust. Zh. 38 ((3)) 502 (1992); Musatov A G, Rudenko O V, Sapozhnikov O A Sov. Phys. Acoust. 38 ((3)) 274 (1992)
  15. Musatov A G, Sapozhnikov O A Akust. Zh. 39 ((3)) 510 (1993); Musatov A G, Sapozhnikov O A Acoust. Phys. 39 ((2)) 166 (1993)
  16. Rudenko O V, Sapozhnikov O A Proceedings Of IEEE 1992 Ultrasonics Symposium Vol. vol. 1 (New York: IEEE, 1992) p. 489
  17. Rudenko O V Defektoskopiya (8) 24 (1993)
  18. Rudenko O V, Sapozhnikov O A Vestn. Mosk. Univ. 3, Fiz. Astron. 32 ((1)) 3 (1991); Rudenko O V, Sapozhnikov O A Mosc. Univ. Phys. Bull. 46 ((1)) 5 (1991)
  19. Andreev V G, Veroman V Yu, Denisov G A, Rudenko O V, Sapozhnikov O A Akust. Zh. 38 ((4)) 588 (1992); Andreev V G, Veroman V Yu, Denisov G A, Rudenko O V, Sapozhnikov O A Sov. Phys. Acoust. 38 ((4)) 325 (1992)
  20. Rudenko O V Usp. Fiz. Nauk 149 ((3)) 413 (1986); Rudenko O V Sov. Phys. Usp. 29 ((7)) 620 (1986)
  21. Rudenko O V, Sukhorukova A K, Sukhorukov A P Akust. Fiz. 40 ((2)) 290 (1994); Rudenko O V, Sukhorukova A K, Sukhorukov A P Acoust. Phys. 40 ((2)) 264 (1994)
  22. Maglieri D J J Acoust. Soc. Am. 92 ((4)) 2328 (1992)
  23. Pierse A D Advances In Nonlinear Acoustics (Singapore: World Scientific, 1993) p. 7
  24. Akhmanov S A, Khokhlov R V Osnovy Nelineinoi Optiki (Foundations Of Nonlinear Optics) (Moscow: VINITI, 1964)
  25. Akhmanov S A, Vysloukh V A, Chirkin A S Optika Femtose-kundnykh Lazernykh Impul'sov (Optics Of Femtosecond Laser Pulses) (Moscow: Nauka, 1988)
  26. Bunkin F V, Kravtsov Yu A, Lyakhov G A Usp. Fiz. Nauk 149 ((3)) 391 (1986); Bunkin F V, Kravtsov Yu A, Lyakhov G A Sov. Phys. Usp. 29 ((7)) 607 (1986)
  27. Blackstock D T J Acoust. Soc. Am. 39 ((4)) 1019 (1966)
  28. Lyakhov G A, Rudenko O V Akust. Zh. 20 ((5)) 738 (1974); Lyakhov G A, Rudenko O V Sov. Phys. Acoust. 20 447 (1975)
  29. Novikov B K, Rudenko O V Akust. Zh. 22 ((3)) 461 (1976); Novikov B K, Rudenko O V Sov. Phys. Acoust. 22 ((3)) 258 (1976)
  30. Landauer R J. Appl. Phys. 31 ((3)) 479 (1960)
  31. Vasil’eva O A, Karabutov A A, Lapshin E A, Rudenko O V Vzaimodeistvie Odnomernykh Voln V Sredakh Bez Dispersii (Interaction Of One-Dimensional Waves In Media Without Dispersion) (Moscow: Moscow University Press, 1983)
  32. Gurbatov S N, Malakhov A N Akust. Zh. 25 ((1)) 53 (1979); Gurbatov S N, Malakhov A N Sov. Phys. Acoust. 25 ((1)) 28 (1979)
  33. Akhmanov S A, Sukhorukov A P, Khokhlov R V Usp. Fiz. Nauk 93 ((1)) 19 (1967); Akhmanov S A, Sukhorukov A P, Khokhlov R V Sov. Phys. Usp. 10 ((1)) 609 (1967)
  34. Bespalov V I, Talanov V I Pis’ma Zh. Eksp. Teor. Fiz. 3 ((12)) 471 (1966); Bespalov V I, Talanov V I JETP Lett. 3 307 (1966)
  35. Lee-Bapty J P, Crighton D G Philos. Trans. R. Soc. London A 323 173 (1987)
  36. Webster D A, Theobald M A, Blackstock D T, in Proceedings Of The 9th International Congress On Acoustics, Madrid 2 ((32)) 740 (1977)
  37. Andreev V G, Karabutov A A, Rudenko O V Akust. Zh. 31 ((4)) 423 (1985); Andreev V G, Karabutov A A, Rudenko O V Sov. Phys. Acoust. 31 ((4)) 252 (1985)
  38. Webster D A, Blackstock D T J Acoust. Soc. Am. 62 ((3)) 518 (1977)
  39. Rudenko O V, Soluyan S I, Khokhlov R V Ak Ust. Zh. 19 ((6)) 871 (1973); Rudenko O V, Soluyan S I, Khokhlov R V Sov. Phys. Acoust. 19 556 (1974)
  40. Ostrovskii L A, Fridman V E Akust. Zh. 18 ((4)) 584 (1972); Ostrovskii L A, Fridman V E Sov. Phys. Acoust. 18 ((4)) 478 (1973)
  41. Bakhvalov N S, Zhileikin Ya M, Zabolotskaya E A Nelineinaya Teoriya Zvukovykh Puchkov (Moscow: Nauka, 1982); Bakhvalov N S, Zhileikin Ya M, Zabolotskaya E A Nonlinear Theory Of Sound Beams (New York: American Institute of Physics, 1987)
  42. Khokhlov R V Radiotekh. Elektron. 6 ((6)) 917 (1961)
  43. Zabolotskaya E A, Khokhlov R V Akust. Zh. 15 ((1)) 40 (1969); Zabolotskaya E A, Khokhlov R V Sov. Phys. Acoust. 15 35 (1969)
  44. Kuznetsov V P Akust. Zh. 16 ((4)) 548 (1970); Kuznetsov V P Sov. Phys. Acoust. 16 ((4)) 475 (1970)
  45. Kadomtsev B B, Petviashvili V I Dokl. Akad. Nauk SSSR 192 ((4)) 753 (1970); Kadomtsev B B, Petviashvili V I Sov. Phys. Dokl. 15 ((6)) 539 (1970)
  46. Rudenko O V, Soluyan S I, Khokhlov R V Akust. Zh. 20 ((3)) 449 (1974); Rudenko O V, Soluyan S I, Khokhlov R V Sov. Phys. Acoust. 20 ((3)) 271 (1974)
  47. Andreev V G, Rudenko O V, Sapozhnikov O A, Khokhlova V A Vestn. Mosk. Univ. Fiz. Astron. 26 ((3)) 58 (1985); Andreev V G, Rudenko O V, Sapozhnikov O A, Khokhlova V A Mosc. Univ. Phys. Bull. 40 ((3)) 67 (1985)
  48. Vinogradova M B, Rudenko O V, Sukhorukov A P Teoriya Voln (Theory Of Waves, 2nd Edition) (Moscow: Nauka, 1990)
  49. Hobaek H "Parametric Acoustic Transmitting Arrays-a Survey of Theories and Experiment" Sci. Techn. Report 99 (Norway: University of Bergen, 1977)
  50. Hamilton M F, Tjotta J N, Tjotta S J Acoust. Soc. Am. 78 ((1)) 202 (1985)
  51. Aanonsen S I, Barkve T, Tjotta J N, Tjotta S J Acoust. Soc. Am. 75 ((3)) 749 (1984)
  52. Novikov B K, Rudenko O V, Timoshenko V I Nelineinaya Gidroakustica (Leningrad: Sudostroenie, 1981)
  53. Gurbatov C N, Malakhov A N, Saichev A I Nonlinear Random Waves And Turbulence In Nondispersive Media: Waves, Rays And Particles (Manchester: Manchester University Press, 1991)
  54. Rudenko O V, Soluyan S I, Khokhlov R V Dokl. Akad. Nauk SSSR 225 ((5)) 1053 (1975); Rudenko O V, Soluyan S I, Khokhlov R V Sov. Phys. Dokl. 20 836 (1975)
  55. Courant R, Hilbert D Methods Of Mathematical Physics (New York: Interscience, 1953)
  56. Bakhvalov N S, Zhileikin Ya M, Zabolotskaya E A, Khokhlov R V Akust. Zh. 22 ((4)) 487 (1976); Bakhvalov N S, Zhileikin Ya M, Zabolotskaya E A, Khokhlov R V Sov. Phys. Acoust. 22 ((4)) 272 (1976)
  57. Hamilton M F, Khokhlova V A, Rudenko O V J. Acoust. Soc. Am. 96 ((5)) 3321 (1994)
  58. Lapidus Yu R, Rudenko O V Akust. Zh. 30 ((6)) 797 (1984); Lapidus Yu R, Rudenko O V Sov. Phys. Acoust. 30 ((6)) 473 (1984)
  59. Lapidus Yu R, Soluyan S I Akust. Zh. 31 ((5)) 615 (1985); Lapidus Yu R, Soluyan S I Sov. Phys. Acoust. 31 ((5)) 368 (1985)
  60. Ginsberg J H J Acoust. Soc. Am. 76 ((4)) 1201 (1984)
  61. Coulouvrat F Y J Acoust. Soc. Am. 90 ((3)) 1592 (1991)
  62. Bacon D R, Baker A C Phys. Med. Biol. 34 1633 (1989)
  63. Baker A C, Anastasiadis K, Humphrey V F J Acoust. Soc. Am. 84 ((5)) 1483 (1988)
  64. Landau L D, Lifshitz E M Gidrodinamika (Moscow: Nauka, 1976)
  65. Lin C C, Reissner E, Tsien H S J Math. Phys. 27 3 (1948)
  66. Karabutov A A, Rudenko O V Dokl. Akad. Nauk SSSR 248 ((5)) 1082 (1979)
  67. Cramer M S, Seebass A R J Fluid Mech. 88 ((2)) 209 (1978)
  68. Spektor M D Pis’ma Zh. Eksp. Teor. Fiz. 35 ((5)) 181 (1982); Spektor M D JETP Lett. 35 ((5)) 221 (1982)
  69. Munin A G, Kvitka V E Aviatsionnaya Akustika (Aviational Acoustics) (Moscow: Mashinostroenie, 1973)
  70. Pierce A D, Maglieri D J J Acoust. Soc. Am. 51 ((3)) 702 (1972)
  71. Fridman V E Abstract Of Doctorate Thesis In Physicomathe-matical Sciences (Moscow: General Physics Institute, 1985)
  72. Whitham G B Linear And Nonlinear Waves (New York: Wiley Interscience, 1974)
  73. Pelinovskii E N, Fridman V E, Engel’brekht Yu K Nelineinye Evolyutsionnye Uravneniya (Nonlinear Evolution Equations) (Tallin: Valgus, 1984)
  74. Naygol’nykh K A, Ostrovskii L A Nelineinye Volnovye Protsessy v Akustike (Nonlinear Wave Processes in Acoustics) (Moscow: Nauka, 1990)
  75. Blokhintsev D I Akustika Neodnorodnoi Dvizhushcheisya Sredy (Acoustics Of An Inhomogeneous Moving Medium, 2nd Edition) (Moscow: Nauka, 1981)
  76. Kravtsov Yu A, Orlov Yu I Geometricheskaya Optika Neodnorodnykh Sred (Geometric Optics Of Inhomogeneous Media) (Moscow: Nauka, 1980)
  77. Ostashev V E Rasprostranenie Zvuka V Dvizhushchikhsya Sredakh (Sound Propagation In Moving Media) (Moscow: Nauka, 1992)
  78. Gubkin K E Prikl. Mat. Mekh. 22 ((4)) 561 (1958)
  79. Ryzhov O S Zh. Prikl. Mekh. Tekh. Fiz. (2) 15 (1961)
  80. Zhilin Yu L Tr. TsAGI 1489 3 (1973)
  81. Zarembo L K, Chunchuzov I A Akust. Zh. 23 ((1)) 143 (1977); Zarembo L K, Chunchuzov I A Sov. Phys. Acoust. 23 ((1)) 78 (1977)
  82. Pelinovskii E N, Soustova I A, Fridman V E Akust. Zh. 24 ((5)) 740 (1978); Pelinovskii E N, Soustova I A, Fridman V E Sov. Phys. Acoust. 24 ((5)) 415 (1978)
  83. Reiso E, Tjotta J N, Tjotta S Frontiers Of Nonlinear Acoustics (London: Elsevier, 1990) p. 177
  84. Rudenko O V, Sukhorukova A K, Sukhorukov A P Akust. Zh. 41 ((2)) 291 (1995); Rudenko O V, Sukhorukova A K, Sukhorukov A P Acoust. Phys. 41 ((2)) 251 (1995)
  85. Musatov A G, Sapozhnikov O A Vestn. Mosk. Univ. 3, Fiz. Astron. 34 ((4)) 94 (1993); Musatov A G, Sapozhnikov O A Mosc. Univ. Phys. Bull. 48 ((4)) 88 (1993)
  86. Nauygol’nykh K A, Soluyan S I, Khokhlov R V Akust. Zh. 9 ((1)) 54 (1963); Nauygol’nykh K A, Soluyan S I, Khokhlov R V Sov. Phys. Acoust. 9 42 (1963)
  87. Sutin A M Nelineinaya Akustika (Nonlinear Acoustics) (Gor’kii: Applied Physics Institute, 1980) p. 45
  88. Ostrovskii L A, Sutin A M Dokl. Akad. Nauk SSSR 221 ((6)) 1300 (1975); Ostrovskii L A, Sutin A M Sov. Phys. Dokl. 20 275 (1975)
  89. Smith C W, Beyer R T J Acoust. Soc. Am. 46 ((3)) 806 (1969)
  90. Borisov Yu Ya, Gynkina N M Akust. Zh. 19 ((4)) 616 (1973); Borisov Yu Ya, Gynkina N M Sov. Phys. Acoust. 19 389 (1974)
  91. Cathignol D, Chapelon J Y Advances In Nonlinear Acoustics (Singapore: World Scientific, 1993) p. 21
  92. Delius M Frontiers Of Nonlinear Acoustics (London: Elsevier, 1990) p. 31
  93. Church C C, Crum L A Proceedings Of The 13th International Congress On Acoustics Vol. vol. 4 (Belgrade, 1989) p. 205
  94. Agarval L, Singh V R, Sud S P Proceedings Of The 14th International Congress On Acoustics, Beijing Vol. vol. 2 (1992) p. 1
  95. Takayama K Proceedings Of 15 International Workshop On Shock Wave Focusing, Sendai, Japan (1989) p. 217
  96. Rudenko O V, Veroman V Yu, Denisov G A et al Optoakusticheskii Izluchatel’ Dlya Beskontaktnogo Razrusheniya Konkrementov V Tele Bioob" Ekta (Optoacoustic Radiator For Contactless Destruction Of Calculi In The Body Of A Biological Object) Patent, (author's certificate No. 1673085)
  97. Gusev V E, Karabutov A A Lazernaya Optoakustika (Laser Optoacoustics) (Moscow: Nauka, 1991)
  98. Akhmanov S A, Gordienko V M, Karabutov A A et al IX Vsesoyuzn. Akust. Konf. (All-Union Acoustics Conference) Vol. 4 (Moscow: Acoustics Institute, 1977) p. 25, IV-6
  99. Bozhkov A I, Bunkin F V, Galstyan A M et al Izv. Akad. Nauk SSSR Ser. Fiz. 46 ((8)) 1624 (1982); Bozhkov A I, Bunkin F V, Galstyan A M et al Bull. Acad. Sci. USSR, Phys. Ser. 46 ((8)) 168 (1982)
  100. Askar’yan G A, Klebanov L D Kvantovaya Electron. Mosk. 15 ((11)) 2167 (1988); Askar’yan G A, Klebanov L D Sov. J. Quantum Electron. 18 ((11)) 1359 (1988)
  101. Musatov A G, Rudenko O V, Sapozhnikov O A Advances In Nonlinear Acoustics (Singapore: World Scientific, 1993) p. 321
  102. Coleman A J, Saunders J E, Preston R C, Bacon D R Ultrasound Med. Biol. 13 651 (1987)
  103. Coleman A J, Saunders J E Ultrasound Med. Biol. 15 213 (1989)
  104. Muller M Proceedings Of The 13th International Congress On Acoustics, Belgrade Vol. vol. 1 (1989) p. 259
  105. Musatov A G, Sapozhnikov O A Akust. Zh. 39 ((2)) 315 (1993); Musatov A G, Sapozhnikov O A Acoust. Phys. 39 ((2)) 166 (1993)
  106. Sapozhnikov O A Akust. Zh. 37 ((4)) 760 (1991); Sapozhnikov O A Sov. Phys. Acoust. 37 ((4)) 395 (1991)
  107. Zhileikin Ya M, Rudenko O V Akust. Zh. 27 ((3)) 363 (1981); Zhileikin Ya M, Rudenko O V Sov. Phys. Acoust. 27 ((3)) 200 (1981)
  108. Zhileikin Ya M, Osipik Yu I Sovremennye Problemy Mat Ematicheskogo Modelirovaniya (Modern Problems Of Mathematical Modelling) (Moscow: Moscow University Press, 1984) p. 152
  109. Rudenko O V Pis’ma Zh. Eksp. Teor. Fiz. 20 ((7)) 445 (1974); Rudenko O V JETP Lett. 20 ((7)) 203 (1974)
  110. Karabutov A A, Lapshin E A, Rudenko O V Zh. Eksp. Teor. Fiz. 71 ((1 (7))) 111 (1976); Karabutov A A, Lapshin E A, Rudenko O V Sov. Phys. JETP 44 ((1)) 58 (1976)
  111. Rudenko O V Akust. Zh. 29 ((3)) 398 (1983); Rudenko O V Sov. Phys. Acoust. 29 ((3)) 234 (1983)
  112. Andreev V G, Rudenko O V Tr. 10 Vsesoyuzn. Akust. Konf. (Proceedings of the 10th All-Union Acoustics Conference) (Moscow: Acoustics Institute, 1983) p. 24, section B
  113. Andreev V G, Gusev V E, Karabutov A A, Rudenko O V, Sapozhnikov O A Akust. Zh. 31 ((2)) 275 (1985); Andreev V G, Gusev V E, Karabutov A A, Rudenko O V, Sapozhnikov O A Sov. Phys. Acoust. 31 ((2)) 162 (1985)
  114. Gurbatov S N, Rudenko O V Nelineinaya Akustika V Zadachakh (Nonlinear Acoustics In Problems) (Moscow: Moscow University Press, 1990)
  115. Zakharov V E, Sagdeev R Z Dokl. Akad. Nauk SSSR 192 ((2)) 297 (1970); Zakharov V E, Sagdeev R Z Sov. Phys. Dokl. 15 439 (1970)
  116. Kadomtsev B B, Petviashvili V I Dokl. Akad. Nauk SSSR 208 ((4)) 794 (1973); Kadomtsev B B, Petviashvili V I Sov. Phys. Dokl. 18 ((1973)])
  117. Naugol’nykh K A, Rybak S A Zh. Eksp. Teor. Fiz. 68 ((1)) 78 (1975); Naugol’nykh K A, Rybak S A Sov. Phys. JETP 41 39 (1975)
  118. Rudenko O V, Khokhlova V A Akust. Zh. 34 ((3)) 500 (1988); Rudenko O V, Khokhlova V A Sov. Phys. Acoust. 34 ((3)) 289 (1988)
  119. Rudenko O V, Khokhlova V A Akust. Zh. 37 ((1)) 182 (1991); Rudenko O V, Khokhlova V A Sov. Phys. Acoust. 37 ((1)) 90 (1991)
  120. Gurbatov S N, Saichev A I Zh. Eksp. Teor. Fiz. 80 ((2)) 689 (1981); Gurbatov S N, Saichev A I Sov. Phys. JETP 53 347 (1981)
  121. Gurbatov S N, Malakhov A N, Saichev A I Nelineinye Sluchainye Volny V Sredakh Bez Dispersii (Moscow: Nauka, 1990)
  122. Lapshin E A et al Application Package NACSI (1-1.2: Plane, Converging And Diverging Waves In Dissipative And Relaxing Media; 2.1-4: High-intensity Acoustic Beams In Nonlinear Media) (Moscow: Dialogue-MGU, 1992)
  123. Khokhlova V A, Sapozhnikov O A J Acoust. Soc. Am. 96 ((5)) 3321 (1994)
  124. Gurbatov S N, Saichev A I, Yakushkin I G Usp. Fiz. Nauk 141 ((2)) 221 (1983); Gurbatov S N, Saichev A I, Yakushkin I G Sov. Phys. Usp. 26 857 (1983)
  125. Moffett M B, Konrad W L, Carlton L F J Acoust. Soc. Am. 63 ((4)) 1048 (1978)
  126. Burov V A, Krasil’nikov V A, Tagunov E Ya Vestn. Mosk. Univ. 3, Fiz. Astron. 19 ((4)) 53 (1978); Burov V A, Krasil’nikov V A, Tagunov E Ya Mosc. Univ. Phys. Bull. 33 ((4)) 60 (1978)
  127. Volyak K I, Gorshkov A S, Rudenko O V Vestn. Mosk. Univ. 3, Fiz. Astron. 16 ((1)) 32 (1975); Volyak K I, Gorshkov A S, Rudenko O V Mosc. Univ. Phys. Bull. 30 ((1)) 40 (1975)
  128. Makarov S N Acustica 80 ((1)) 1 (1994)
  129. Morfey C L Advances In Nonlinear Acoustics (Singapore: World Scientific, 1993) p. 167
  130. Westervelt P J J Acoust. Soc. Am. 96 ((5)) 3320 (1994)
  131. Kaner V V, Rudenko O V, Khokhlov R V Akust. Zh. 23 ((5)) 756 (1977); Kaner V V, Rudenko O V, Khokhlov R V Sov. Phys. Acoust. 23 ((5)) 432 (1977)
  132. Seymour B R, Mortell M P J Fluid Mech. 52 ((2)) 353 (1973)
  133. Temkin S J. Acoust. Soc. Am. 45 ((1)) 224 (1969)
  134. Ostrovskii L A Akust. Zh. 20 ((1)) 140 (1974); Ostrovskii L A Sov. Phys. Acoust. 20 ((1)) 88 (1974)
  135. Ochmann M J Acoust. Soc. Am. 77 ((1)) 61 (1985)
  136. Gusev V E Akust. Zh. 30 ((2)) 204 (1984); Gusev V E Sov. Phys. Acoust. 30 ((2)) 121 (1984)
  137. Kaner V V, Rudenko O V Vestn. Mosk. Univ. 3, Fiz. Astron. 19 ((4)) 78 (1978); Kaner V V, Rudenko O V Mosc. Univ. Phys. Bull. 33 ((4)) 63 (1978)
  138. Nayfeh A H, Kaiser J E, Telionis D P AIAA J. 13 ((2)) 130 (1975)
  139. Webster D A, Blackstock D T J Acoust. Soc. Am. 63 ((3)) 687 (1978)
  140. Smith R T, Bjorno L, Stephens R W B Acustica 39 ((2)) 123 (1978)
  141. Hamilton M F, Ten Cate J A J Acoust. Soc. Am. 84 ((1)) 327 (1988)
  142. Nakamura A Mem. Inst. Sci. Ind. Res., Osaka Univ. 32 23 (1975)
  143. Zhileikin Ya M, Zhuravleva T M, Rudenko O V Akust. Zh. 26 ((1)) 62 (1980); Zhileikin Ya M, Zhuravleva T M, Rudenko O Sov. Phys. Acoust. 26 ((1)) 32 (1980)
  144. Askar’yan G A Pis’ma Zh. Eksp. Teor. Fiz. 4 ((4)) 144 (1966); Askar’yan G A JETP Lett. 4 ((4)) 99 (1966)
  145. Assman V A, Bunkin F V, Vernik A V et al Pis’ma Zh. Eksp. Teor. Fiz. 41 ((4)) 148 (1985); Assman V A, Bunkin F V, Vernik A V et al JETP Lett. 41 ((4)) 182 (1985)
  146. Andreev V G, Karabutov A A, Rudenko O V, Sapozhnikov O A Pis’ma Zh. Eksp. Teor. Fiz. 41 ((9)) 381 (1985); Andreev V G, Karabutov A A, Rudenko O V, Sapozhnikov O A JETP Lett. 41 ((9)) 466 (1985)
  147. Karabutov A A, Rudenko O V, Sapozhnikov O A Vestn. Mosk. Univ. 3, Fiz. Astron. 29 ((4)) 63 (1988); Karabutov A A, Rudenko O V, Sapozhnikov O A Mosc. Univ. Phys. Bull. 43 ((4)) 68 (1988)
  148. Armeev V Yu, Karabutov A A, Sapozhnikov O A Akust. Zh. 33 ((2)) 177 (1987); Armeev V Yu, Karabutov A A, Sapozhnikov O A Sov. Phys. Acoust. 33 ((2)) 109 (1987)
  149. Primenenie Ultrazvuka v Meditsine (Application Of Ultrasound In Medicine, Transl. From Engl. Eds L R Gavrilov, A P Sarvazyan) (Moscow: Mir, 1989); Physical Principles Of Medical Ultrasonics (Ed. C R Hill) (New York: Harwood Ltd, 1986)

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