{"title":"加德纳-KP 正方程的呼吸器式和 N 呼吸器式解法","authors":"Hang Zeng, Lu Tang","doi":"10.1142/s021798492450427x","DOIUrl":null,"url":null,"abstract":"Starting from the bilinear form of the positive Gardner–Kadomtsev–Petviashvili equation, breather-type and N-breather solutions are obtained with the help of the extended homoclinic test approach. Breather-type, one-breather, two-breather and three-breather solutions are illustrated through 3D plots, density plots and contour plots and some appropriate parameter values have been chosen to better demonstrate their time evolution.","PeriodicalId":18570,"journal":{"name":"Modern Physics Letters B","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Breather-type and N-breather solutions for the positive Gardner-KP equation\",\"authors\":\"Hang Zeng, Lu Tang\",\"doi\":\"10.1142/s021798492450427x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Starting from the bilinear form of the positive Gardner–Kadomtsev–Petviashvili equation, breather-type and N-breather solutions are obtained with the help of the extended homoclinic test approach. Breather-type, one-breather, two-breather and three-breather solutions are illustrated through 3D plots, density plots and contour plots and some appropriate parameter values have been chosen to better demonstrate their time evolution.\",\"PeriodicalId\":18570,\"journal\":{\"name\":\"Modern Physics Letters B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Modern Physics Letters B\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1142/s021798492450427x\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modern Physics Letters B","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s021798492450427x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
从正 Gardner-Kadomtsev-Petviashvili 方程的双线性形式出发,借助扩展的同室检验方法,得到了呼吸型和 N 呼吸型解决方案。通过三维图、密度图和等值线图说明了呼吸型、单呼吸、双呼吸和三呼吸解,并选择了一些适当的参数值,以更好地展示它们的时间演化过程。
Breather-type and N-breather solutions for the positive Gardner-KP equation
Starting from the bilinear form of the positive Gardner–Kadomtsev–Petviashvili equation, breather-type and N-breather solutions are obtained with the help of the extended homoclinic test approach. Breather-type, one-breather, two-breather and three-breather solutions are illustrated through 3D plots, density plots and contour plots and some appropriate parameter values have been chosen to better demonstrate their time evolution.
期刊介绍:
MPLB opens a channel for the fast circulation of important and useful research findings in Condensed Matter Physics, Statistical Physics, as well as Atomic, Molecular and Optical Physics. A strong emphasis is placed on topics of current interest, such as cold atoms and molecules, new topological materials and phases, and novel low-dimensional materials. The journal also contains a Brief Reviews section with the purpose of publishing short reports on the latest experimental findings and urgent new theoretical developments.