{"title":"(2+1)维GMKPI方程行波精确解的符号计算和构造","authors":"Xiaoxia Yang, Jun-min Wang","doi":"10.1109/ICNDS.2010.5479194","DOIUrl":null,"url":null,"abstract":"In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.","PeriodicalId":403283,"journal":{"name":"2010 International Conference on Networking and Digital Society","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Symbolic computation and construction of exact travelling wave solutions to (2+1)-dimensional GMKPI equation\",\"authors\":\"Xiaoxia Yang, Jun-min Wang\",\"doi\":\"10.1109/ICNDS.2010.5479194\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.\",\"PeriodicalId\":403283,\"journal\":{\"name\":\"2010 International Conference on Networking and Digital Society\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 International Conference on Networking and Digital Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNDS.2010.5479194\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 International Conference on Networking and Digital Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNDS.2010.5479194","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Symbolic computation and construction of exact travelling wave solutions to (2+1)-dimensional GMKPI equation
In this paper, the auxiliary equation method is used to seek exact solutions of a (2+1)-dimensional nonlinear soliton equation(GMKPI). As a result, some traveling wave solutions are successfully obtained with the aid of symbolic computation. It is shown that the auxiliary equation method is a very effective and powerful mathematical tool for solving nonlinear evolution equations in mathematics and physics.
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