{"title":"Stationary Longitudinal Waves in a Rod with Quadratic Bimodular Nonlinearity","authors":"V. E. Nazarov, S. B. Kiyashko","doi":"10.1007/s11141-023-10235-1","DOIUrl":null,"url":null,"abstract":"<div><div><p>We have performed theoretical analysis and a numerical study of stationary longitudinal elastic waves in a rod, which is made of a microinhomogeneous solid body with quadratic-bimodular nonlinearity, with account taken of the geometric dispersion of the phase velocity of the waves. Nonlinear equations are obtained, and their numerical solutions are analyzed for stationary solitary and periodic waves propagating without variations in their form. Graphical analysis of the profiles of stationary waves is performed.</p></div></div>","PeriodicalId":748,"journal":{"name":"Radiophysics and Quantum Electronics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2023-04-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Radiophysics and Quantum Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s11141-023-10235-1","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
We have performed theoretical analysis and a numerical study of stationary longitudinal elastic waves in a rod, which is made of a microinhomogeneous solid body with quadratic-bimodular nonlinearity, with account taken of the geometric dispersion of the phase velocity of the waves. Nonlinear equations are obtained, and their numerical solutions are analyzed for stationary solitary and periodic waves propagating without variations in their form. Graphical analysis of the profiles of stationary waves is performed.
期刊介绍：
Radiophysics and Quantum Electronics contains the most recent and best Russian research on topics such as:
Radio astronomy;
Plasma astrophysics;
Ionospheric, atmospheric and oceanic physics;
Radiowave propagation;
Quantum radiophysics;
Pphysics of oscillations and waves;
Physics of plasmas;
Statistical radiophysics;
Electrodynamics;
Vacuum and plasma electronics;
Acoustics;
Solid-state electronics.
Radiophysics and Quantum Electronics is a translation of the Russian journal Izvestiya VUZ. Radiofizika, published by the Radiophysical Research Institute and N.I. Lobachevsky State University at Nizhnii Novgorod, Russia. The Russian volume-year is published in English beginning in April.
All articles are peer-reviewed.
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