{"title":"Dynamics of Irregular Wave Fields in the Schamel Equation Framework","authors":"M. V. Flamarion, E. Pelinovsky, E. Didenkulova","doi":"10.3103/S1541308X24700481","DOIUrl":null,"url":null,"abstract":"<p>The present paper is devoted to the study of the dynamics of narrowband wave fields within the nonintegrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials, and electrical circuits. A Monte Carlo approach is used to obtain a large number of random independent realizations of the wave fields, allowing for an investigation of the evolution of the following statistical characteristics: spectra, moments, and distribution functions. The simulations are conducted for different values of the Ursell number (the ratio of nonlinearity to dispersion) to study the impact of nonlinearity and dispersion on the processes under consideration. The features of freak waves appeared in the random wave fields are discussed.</p>","PeriodicalId":732,"journal":{"name":"Physics of Wave Phenomena","volume":"33 1","pages":"9 - 19"},"PeriodicalIF":1.1000,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Wave Phenomena","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.3103/S1541308X24700481","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The present paper is devoted to the study of the dynamics of narrowband wave fields within the nonintegrable Schamel equation, which plays an important role in plasma physics, wave dynamics in metamaterials, and electrical circuits. A Monte Carlo approach is used to obtain a large number of random independent realizations of the wave fields, allowing for an investigation of the evolution of the following statistical characteristics: spectra, moments, and distribution functions. The simulations are conducted for different values of the Ursell number (the ratio of nonlinearity to dispersion) to study the impact of nonlinearity and dispersion on the processes under consideration. The features of freak waves appeared in the random wave fields are discussed.
期刊介绍：
Physics of Wave Phenomena publishes original contributions in general and nonlinear wave theory, original experimental results in optics, acoustics and radiophysics. The fields of physics represented in this journal include nonlinear optics, acoustics, and radiophysics; nonlinear effects of any nature including nonlinear dynamics and chaos; phase transitions including light- and sound-induced; laser physics; optical and other spectroscopies; new instruments, methods, and measurements of wave and oscillatory processes; remote sensing of waves in natural media; wave interactions in biophysics, econophysics and other cross-disciplinary areas.
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