{"title":"Impact of the Wavefront on a Nonlinear Wave in a Dissipative Medium","authors":"V. A. Bazylenko, O. V. Rudenko","doi":"10.1134/S1028335823050038","DOIUrl":null,"url":null,"abstract":"<p>A method for generating solutions of the Burgers equation, which describe the interaction of waves in a nonlinear dissipative medium with a linearly growing wavefront, is proposed. The exact solutions describing these interactions and symmetry properties of the equation are used. It is shown that the rising wavefront is able to compete with the dissipation and compress the signal in time. On the contrary, the wavefront with the decreasing steepness “stretches” the signal.</p>","PeriodicalId":533,"journal":{"name":"Doklady Physics","volume":"68 5","pages":"141 - 143"},"PeriodicalIF":0.6000,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Doklady Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1028335823050038","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 0
Abstract
A method for generating solutions of the Burgers equation, which describe the interaction of waves in a nonlinear dissipative medium with a linearly growing wavefront, is proposed. The exact solutions describing these interactions and symmetry properties of the equation are used. It is shown that the rising wavefront is able to compete with the dissipation and compress the signal in time. On the contrary, the wavefront with the decreasing steepness “stretches” the signal.
期刊介绍：
Doklady Physics is a journal that publishes new research in physics of great significance. Initially the journal was a forum of the Russian Academy of Science and published only best contributions from Russia in the form of short articles. Now the journal welcomes submissions from any country in the English or Russian language. Every manuscript must be recommended by Russian or foreign members of the Russian Academy of Sciences.
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