{"title":"半离散矩阵耦合无分散系统的达尔布克斯变换","authors":"","doi":"10.1016/j.aml.2024.109217","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, a semi-discrete matrix coupled dispersionless system is presented. A Lax pair is proposed, and the Darboux transformation is employed to construct exact solutions to the semi-discrete matrix coupled dispersionless system. These solutions numerically exhibit a variety of exact phenomena, including periodic patterns, breathers, rogue waves, and bright and dark solitons.</p></div>","PeriodicalId":55497,"journal":{"name":"Applied Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":2.9000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Darboux transformation for a semi-discrete matrix coupled dispersionless system\",\"authors\":\"\",\"doi\":\"10.1016/j.aml.2024.109217\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, a semi-discrete matrix coupled dispersionless system is presented. A Lax pair is proposed, and the Darboux transformation is employed to construct exact solutions to the semi-discrete matrix coupled dispersionless system. These solutions numerically exhibit a variety of exact phenomena, including periodic patterns, breathers, rogue waves, and bright and dark solitons.</p></div>\",\"PeriodicalId\":55497,\"journal\":{\"name\":\"Applied Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Applied Mathematics Letters\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0893965924002374\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics Letters","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0893965924002374","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Darboux transformation for a semi-discrete matrix coupled dispersionless system
In this paper, a semi-discrete matrix coupled dispersionless system is presented. A Lax pair is proposed, and the Darboux transformation is employed to construct exact solutions to the semi-discrete matrix coupled dispersionless system. These solutions numerically exhibit a variety of exact phenomena, including periodic patterns, breathers, rogue waves, and bright and dark solitons.
期刊介绍:
The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.