{"title":"非对称Nizhnik-Novikov-Vesselov方程的三波解法","authors":"P. He, Defei Zhang","doi":"10.1109/ICNC.2012.6234506","DOIUrl":null,"url":null,"abstract":"In this paper, the asymmetric Nizhnik-Novikov-Vesselov equation is studied by using extended three-soliton method. The new exact solutions including discontinuous periodic wave solution, two-soliton wave solution, three solitary wave solution and smooth solitary wave solution for the asymmetric Nizhnik-Novikov-Vesselov equation are obtained. Their dynamic properties of some exact solutions are discussed and their profiles of these solutions are given by Maple.","PeriodicalId":404981,"journal":{"name":"2012 8th International Conference on Natural Computation","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The three-wave method for the asymmetric Nizhnik-Novikov-Vesselov equation\",\"authors\":\"P. He, Defei Zhang\",\"doi\":\"10.1109/ICNC.2012.6234506\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, the asymmetric Nizhnik-Novikov-Vesselov equation is studied by using extended three-soliton method. The new exact solutions including discontinuous periodic wave solution, two-soliton wave solution, three solitary wave solution and smooth solitary wave solution for the asymmetric Nizhnik-Novikov-Vesselov equation are obtained. Their dynamic properties of some exact solutions are discussed and their profiles of these solutions are given by Maple.\",\"PeriodicalId\":404981,\"journal\":{\"name\":\"2012 8th International Conference on Natural Computation\",\"volume\":\"80 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 8th International Conference on Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICNC.2012.6234506\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 8th International Conference on Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICNC.2012.6234506","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The three-wave method for the asymmetric Nizhnik-Novikov-Vesselov equation
In this paper, the asymmetric Nizhnik-Novikov-Vesselov equation is studied by using extended three-soliton method. The new exact solutions including discontinuous periodic wave solution, two-soliton wave solution, three solitary wave solution and smooth solitary wave solution for the asymmetric Nizhnik-Novikov-Vesselov equation are obtained. Their dynamic properties of some exact solutions are discussed and their profiles of these solutions are given by Maple.
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