{"title":"行波解:分析非线性物理现象的新方法","authors":"K. Sayevand, D. Baleanu, M. Fardi","doi":"10.2478/s11534-014-0475-6","DOIUrl":null,"url":null,"abstract":"In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.","PeriodicalId":50985,"journal":{"name":"Central European Journal of Physics","volume":"28 1","pages":"480-489"},"PeriodicalIF":0.0000,"publicationDate":"2014-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena\",\"authors\":\"K. Sayevand, D. Baleanu, M. Fardi\",\"doi\":\"10.2478/s11534-014-0475-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.\",\"PeriodicalId\":50985,\"journal\":{\"name\":\"Central European Journal of Physics\",\"volume\":\"28 1\",\"pages\":\"480-489\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Central European Journal of Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/s11534-014-0475-6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Central European Journal of Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/s11534-014-0475-6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Travelling wave solutions: A new approach to the analysis of nonlinear physical phenomena
In this manuscript, a reliable scheme based on a general functional transformation is applied to construct the exact travelling wave solution for nonlinear differential equations. Our methodology is investigated by means of the modified homotopy analysis method which contains two convergence-control parameters. The obtained results reveal that the proposed approach is a very effective. Several illustrative examples are investigated in detail.
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