{"title":"关于双模方程的波解","authors":"Zehra Pinar","doi":"10.32513/tmj/19322008131","DOIUrl":null,"url":null,"abstract":"In this work, we consider that the two-mode equations, especially two-mode Korteweg-de Vries equation and two-mode Sharma-Tasso-Olver equations, which are used for modelling of shallow water waves, electromagnetism, electrical and electronics engineering, signal analysis, quantum mechanics etc. and their analytical solutions are obtained via the well-known Bernoulli equation method through the symbolic computation.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the wave solutions of two-mode equations\",\"authors\":\"Zehra Pinar\",\"doi\":\"10.32513/tmj/19322008131\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we consider that the two-mode equations, especially two-mode Korteweg-de Vries equation and two-mode Sharma-Tasso-Olver equations, which are used for modelling of shallow water waves, electromagnetism, electrical and electronics engineering, signal analysis, quantum mechanics etc. and their analytical solutions are obtained via the well-known Bernoulli equation method through the symbolic computation.\",\"PeriodicalId\":43977,\"journal\":{\"name\":\"Tbilisi Mathematical Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Tbilisi Mathematical Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.32513/tmj/19322008131\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tbilisi Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32513/tmj/19322008131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this work, we consider that the two-mode equations, especially two-mode Korteweg-de Vries equation and two-mode Sharma-Tasso-Olver equations, which are used for modelling of shallow water waves, electromagnetism, electrical and electronics engineering, signal analysis, quantum mechanics etc. and their analytical solutions are obtained via the well-known Bernoulli equation method through the symbolic computation.