{"title":"势非线性朗伯表面波的性质","authors":"A. A. Ochirov, K. Yu. Lapshina","doi":"10.1134/S0015462825601056","DOIUrl":null,"url":null,"abstract":"<p>The paper explores potential surface gravity waves in an ideal fluid described by Lambert W-functions. The shape of the undisturbed free surface is examined, depending on the magnitude of the wave. The characteristics of the deformed surface are derived. The influence of the wave amplitude on the dispersion characteristics, as well as on the group and phase velocities, is studied.</p>","PeriodicalId":560,"journal":{"name":"Fluid Dynamics","volume":"60 3","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2025-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Properties of Potential Nonlinear Lambert Surface Waves\",\"authors\":\"A. A. Ochirov, K. Yu. Lapshina\",\"doi\":\"10.1134/S0015462825601056\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The paper explores potential surface gravity waves in an ideal fluid described by Lambert W-functions. The shape of the undisturbed free surface is examined, depending on the magnitude of the wave. The characteristics of the deformed surface are derived. The influence of the wave amplitude on the dispersion characteristics, as well as on the group and phase velocities, is studied.</p>\",\"PeriodicalId\":560,\"journal\":{\"name\":\"Fluid Dynamics\",\"volume\":\"60 3\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2025-07-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fluid Dynamics\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S0015462825601056\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MECHANICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fluid Dynamics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1134/S0015462825601056","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
Properties of Potential Nonlinear Lambert Surface Waves
The paper explores potential surface gravity waves in an ideal fluid described by Lambert W-functions. The shape of the undisturbed free surface is examined, depending on the magnitude of the wave. The characteristics of the deformed surface are derived. The influence of the wave amplitude on the dispersion characteristics, as well as on the group and phase velocities, is studied.
期刊介绍:
Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.