Inelastic collision of resonant solitons in a bubble medium
Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 2, pp. 81-93.

Voir la notice de l'article provenant de la source Math-Net.Ru

Collision of high-amplitude resonant solitons in a liquid with gas bubbles in the opposite motion is studied. The interaction has an inelastic character. The amplitude of the state of full merging is three times the initial. Two intense sonic precursors are emitted during the interaction. After the solitons leave the interaction region, a space-limited zone of coupled bubble pulsations arises in it. These processes, reduce the energy of solitons, and they are not restored to their original state.
Keywords: liquid with bubbles, resonant solitons of high intensity, inelastic interaction, emission of sound precursors.
@article{SJIM_2023_26_2_a7,
     author = {I. A. Ogorodnikov},
     title = {Inelastic collision of resonant solitons in a bubble medium},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {81--93},
     publisher = {mathdoc},
     volume = {26},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2023_26_2_a7/}
}
TY  - JOUR
AU  - I. A. Ogorodnikov
TI  - Inelastic collision of resonant solitons in a bubble medium
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2023
SP  - 81
EP  - 93
VL  - 26
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2023_26_2_a7/
LA  - ru
ID  - SJIM_2023_26_2_a7
ER  - 
%0 Journal Article
%A I. A. Ogorodnikov
%T Inelastic collision of resonant solitons in a bubble medium
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2023
%P 81-93
%V 26
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2023_26_2_a7/
%G ru
%F SJIM_2023_26_2_a7
I. A. Ogorodnikov. Inelastic collision of resonant solitons in a bubble medium. Sibirskij žurnal industrialʹnoj matematiki, Tome 26 (2023) no. 2, pp. 81-93. http://geodesic.mathdoc.fr/item/SJIM_2023_26_2_a7/

[1] V. E. Zakharov, S. V. Manakov, S. P. Novikov, Pitaevskii L. P., Teoriya solitonov. Metod obratnoi zadachi, Nauka, M., 1980

[2] V. E. Zakharov, “Kinetic equation for solitons”, Experiment. Theor. Phys, 33:6 (1971), 538–541 | MR

[3] E. G. Didenkulova, A. V. Kokorina, A. V. Slyunyaev, “Numerical modeling of a gas of solitons in the framework of equations of the Korteweg-de Vries type”, Comput. Technologies, 24:2 (2019), 52–66

[4] S. L. McCall, E. L. Hahn, “Self-induced transparency by pulsed coherent light”, Phys. Rev. Lett, 18 (1967), 908–911 | DOI

[5] H. A. Haus, W. S. Wong, “Solitons in optical communications”, Rev. Modern Phys, 1996, no. 2, 423–444 | DOI

[6] A. V. Buryaka, P. Di Trapanib, D. V. Skryabinc, S. Trillod, “Optical solitons due to quadratic nonlinearities: from basic physics to futuristic applications”, Phys. Rep, 2002, no. 370, 63–235 | DOI | MR

[7] N. N. Slepov, “Solitonnye seti”, Seti, 1999, no. 3, 90–96

[8] N. J. Zabusky, M. D. Kruskal, “Interaction of «solitons» in a collisionless plasma and the recurrence of initial states”, Phys. Rev. Lett, 15:6 (1965), 240–243 | DOI | Zbl

[9] A. S. Plastun, A. I. Konyukhov, L. A. Melnikov, S. A. Zarkov, “Neuprugie vzaimodeistviya opticheskikh solitonov v ramkakh modeli nelineinogo uravneniya Shredingera s peremennymi koeffitsientami”, Izv. Saratov. un-ta. Nov. ser. Ser. Fizika, 16:2 (2016), 81–86

[10] N. V. Malykh, I. A. Ogorodnikov, “Structure of pressure pulses in liquids with gas bubbles”, J. Phys. Colloques, 40 (1979), 300–305 | DOI

[11] V. E. Nakoryakov, B. G. Pokusaev, I. R. Shreiber, Wave Dynamics of Gas and Vapor-Liquid Media, Energoatomizdat, M., 1990 | MR

[12] V. Leroy, A. Strybulevych, M. G. Scanlon, J. H. Page, “Transmission of ultrasound through a single layer of bubbles”, Eur. Phys. J., 29 (2009), 123–130

[13] G. A. Druzhinin, G. A. Ostroumov, A. S. Tokman, “Nelineinoe otrazhenie udarnykh voln i udarnye krivye zhidkostei s puzyrkami gaza”, Tr. Mezhdunarod. konf. «Nelineinye volny deformatsii», izd. In-ta kibernetiki, Tallin, 1978, 66–69

[14] G. N. Ostrovskii, Prikladnaya mekhanika neodnorodnykh sred, Nauka, SPb., 2000

[15] I. A. Ogorodnikov, Resonance formation of solitary waves in a medium with structure, Preprint, Institute of Thermal Physics SB USSR, Novosibirsk, 1983

[16] V. Yu. Ogorodnikov I. A. Borodulin, “Microscopic model of the dynamics of a heterogeneous medium. Interaction of acoustic waves with bubble layers”, Fundament. Appl. Hydrophys, 9:2 (2016), 62–72

[17] V. Yu. Borodulin, I. A. Ogorodnikov, “Dispersionnye svoistva zvukovykh voln v zhidkosti s puzyrkami gaza”, Vseros. konf. XXXI «Sibirskii teplofizicheskii seminar», Sb. trudov konf. (17–19 noyabrya 2014), 2014, 197–202

[18] I. A. Ogorodnikov, “Resonant solitons in a polydisperse bubble medium”, J. Phys. Conf. Ser., 1105 (2018), 012088 | DOI

[19] V. A. Akulichev, V. A. Bulanov, “The bubble distribution and acoustic characteristics of the subsurface sea layer”, Proc. Mtgs. Acoust., 24 (2015), 45003

[20] V. Yu. Borodulin, I. A. Ogorodnikov, “Energy characteristics of a radiating thin layer of bubbles in a liquid”, J. Phys. Conf. Ser., 1382 (2019), 012074 | DOI

[21] S. K. Godunov, Ryabenkii V. S., Raznostnye skhemy, Nauka, M., 1977