{"title":"On exact solutions of the generalized Pochhammer-Chree equation","authors":"A. Yokuş, K. Ali, R. Yilmazer, H. Bulut","doi":"10.22034/CMDE.2021.45176.1903","DOIUrl":null,"url":null,"abstract":"In the current study, we consider the generalized Pochhammer-Chree equation with term of order $n$. Based on the (1/G')-expansion method and with the aid of symbolic computation, we construct some distinct exact solutions for this nonlinear model. Various exact solutions are produced to the studied equation including singular solutions, periodic wave solutions. In addition to 2D, 3D and contour plots are graphed for all obtaining solutions via choosing the suitable values for the involved parameters. All gained solutions verify the governing equation.","PeriodicalId":44352,"journal":{"name":"Computational Methods for Differential Equations","volume":null,"pages":null},"PeriodicalIF":1.1000,"publicationDate":"2021-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computational Methods for Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22034/CMDE.2021.45176.1903","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 9
Abstract
In the current study, we consider the generalized Pochhammer-Chree equation with term of order $n$. Based on the (1/G')-expansion method and with the aid of symbolic computation, we construct some distinct exact solutions for this nonlinear model. Various exact solutions are produced to the studied equation including singular solutions, periodic wave solutions. In addition to 2D, 3D and contour plots are graphed for all obtaining solutions via choosing the suitable values for the involved parameters. All gained solutions verify the governing equation.
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