{"title":"利用exp(-\\varphi(z))展开法求(2+1)维组合KdV-mKdV方程的解析解","authors":"Baixin Chen, Yongyi Gu","doi":"10.33401/fujma.1125858","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain exact solutions of the (2+1)-dimensional combined KdV-mKdV equation by using symbol calculation approach. First, we give some background on the equation. Second, the exp(-\\varphi(z))-expansion method will be introduced to solve the equation. After, using the exp(-\\varphi(z))-expansion method to solve the equation, we can get four types of exact solutions, which are hyperbolic, trigonometric, exponential, and rational function solutions. Finally, we can observe the characteristics of the exact solutions via computer simulation more easily.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"83 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Employing the exp(-\\\\varphi(z))-expansion method to find analytical solutions for a (2+1)-dimensional combined KdV-mKdV equation\",\"authors\":\"Baixin Chen, Yongyi Gu\",\"doi\":\"10.33401/fujma.1125858\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we obtain exact solutions of the (2+1)-dimensional combined KdV-mKdV equation by using symbol calculation approach. First, we give some background on the equation. Second, the exp(-\\\\varphi(z))-expansion method will be introduced to solve the equation. After, using the exp(-\\\\varphi(z))-expansion method to solve the equation, we can get four types of exact solutions, which are hyperbolic, trigonometric, exponential, and rational function solutions. Finally, we can observe the characteristics of the exact solutions via computer simulation more easily.\",\"PeriodicalId\":199091,\"journal\":{\"name\":\"Fundamental Journal of Mathematics and Applications\",\"volume\":\"83 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-10-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Fundamental Journal of Mathematics and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33401/fujma.1125858\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Fundamental Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33401/fujma.1125858","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Employing the exp(-\varphi(z))-expansion method to find analytical solutions for a (2+1)-dimensional combined KdV-mKdV equation
In this paper, we obtain exact solutions of the (2+1)-dimensional combined KdV-mKdV equation by using symbol calculation approach. First, we give some background on the equation. Second, the exp(-\varphi(z))-expansion method will be introduced to solve the equation. After, using the exp(-\varphi(z))-expansion method to solve the equation, we can get four types of exact solutions, which are hyperbolic, trigonometric, exponential, and rational function solutions. Finally, we can observe the characteristics of the exact solutions via computer simulation more easily.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
