{"title":"Inelastic Collision of Resonant Solitons in a Bubble Medium","authors":"I. A. Ogorodnikov","doi":"10.1134/S1990478923020138","DOIUrl":null,"url":null,"abstract":"<p> We study a collision of high-amplitude resonant solitons in a liquid with gas bubbles\nmoving towards each other. The interaction is of an inelastic nature. The amplitude of the state\nof full merging of two resonant solitons is three times their initial amplitudes. Two intense sonic\nprecursors are emitted during the interaction. After the solitons leave the interaction region,\na space-limited zone of coupled bubble pulsations arises in it. These processes reduce the energy of\nsolitons, which never restore to their original state.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 2","pages":"345 - 354"},"PeriodicalIF":0.5800,"publicationDate":"2023-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478923020138","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
We study a collision of high-amplitude resonant solitons in a liquid with gas bubbles
moving towards each other. The interaction is of an inelastic nature. The amplitude of the state
of full merging of two resonant solitons is three times their initial amplitudes. 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, which never restore to their original state.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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