{"title":"空间对称KP模型中的色散管理块波","authors":"W. Ma, Sumayah Batwa and Solomon Manukure","doi":"10.4208/eajam.2022-038.180922","DOIUrl":null,"url":null,"abstract":". This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions","PeriodicalId":48932,"journal":{"name":"East Asian Journal on Applied Mathematics","volume":" ","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model\",\"authors\":\"W. Ma, Sumayah Batwa and Solomon Manukure\",\"doi\":\"10.4208/eajam.2022-038.180922\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions\",\"PeriodicalId\":48932,\"journal\":{\"name\":\"East Asian Journal on Applied Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"East Asian Journal on Applied Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/eajam.2022-038.180922\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"East Asian Journal on Applied Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/eajam.2022-038.180922","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Dispersion-Managed Lump Waves in a Spatial Symmetric KP Model
. This paper aims to explore dispersion-managed lump waves in a spatial symmetric KP model. Negative second-order linear dispersive terms play an important role in creating lump waves with the nonlinearity in the model. The starting point is a Hirota bilinear form with an ansatz on quadratic function solutions to the corresponding Hirota bilinear equation. Symbolic computation with Maple is conducted to determine lump waves, and characteristic behaviors are analyzed for the resulting lump wave solutions
期刊介绍:
The East Asian Journal on Applied Mathematics (EAJAM) aims at promoting study and research in Applied Mathematics in East Asia. It is the editorial policy of EAJAM to accept refereed papers in all active areas of Applied Mathematics and related Mathematical Sciences. Novel applications of Mathematics in real situations are especially welcome. Substantial survey papers on topics of exceptional interest will also be published occasionally.