{"title":"非线性方程的数值解法","authors":"A. Benali","doi":"10.46939/j.sci.arts-23.2-a15","DOIUrl":null,"url":null,"abstract":"In this work we have applied a very important the hyperbolic tangent (tanh) method in the analytical study of nonlinear coupled KdV systems of partial differential equations. Compared to existing sophisticated approaches, this proposed method gives more general exact traveling wave solutions without much extra effort. Two applications from the literature of non linear PDE systems have been solved by the method.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"RESOLUTION NUMERICAL OF NON-LINEAR EQUATIONS\",\"authors\":\"A. Benali\",\"doi\":\"10.46939/j.sci.arts-23.2-a15\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work we have applied a very important the hyperbolic tangent (tanh) method in the analytical study of nonlinear coupled KdV systems of partial differential equations. Compared to existing sophisticated approaches, this proposed method gives more general exact traveling wave solutions without much extra effort. Two applications from the literature of non linear PDE systems have been solved by the method.\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-23.2-a15\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.2-a15","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
In this work we have applied a very important the hyperbolic tangent (tanh) method in the analytical study of nonlinear coupled KdV systems of partial differential equations. Compared to existing sophisticated approaches, this proposed method gives more general exact traveling wave solutions without much extra effort. Two applications from the literature of non linear PDE systems have been solved by the method.
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