{"title":"耦合DKP方程的解","authors":"Shengqing Su, Chuanzhong Li, Conghui Li","doi":"10.1140/epjp/s13360-025-06729-8","DOIUrl":null,"url":null,"abstract":"<div><p>The solutions of the coupled D-type Kadomtsev–Petviashvili (cDKP) equation can conduct experiments with more complex interactions than the D-type Kadomtsev–Petviashvili (DKP) equation, according to comparative analysis. This article provides a comprehensive examination of the classical solutions within the cDKP system, encompassing its various reduced forms, notably the complex coupled D-type Korteweg–de Vries (cDKdV) equation and the coupled D-type Boussinesq equation. Furthermore, the study presents a detailed analysis of the asymptotic characteristics and interaction behaviors of these solutions.</p></div>","PeriodicalId":792,"journal":{"name":"The European Physical Journal Plus","volume":"140 8","pages":""},"PeriodicalIF":2.9000,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On solutions of the coupled DKP equation\",\"authors\":\"Shengqing Su, Chuanzhong Li, Conghui Li\",\"doi\":\"10.1140/epjp/s13360-025-06729-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The solutions of the coupled D-type Kadomtsev–Petviashvili (cDKP) equation can conduct experiments with more complex interactions than the D-type Kadomtsev–Petviashvili (DKP) equation, according to comparative analysis. This article provides a comprehensive examination of the classical solutions within the cDKP system, encompassing its various reduced forms, notably the complex coupled D-type Korteweg–de Vries (cDKdV) equation and the coupled D-type Boussinesq equation. Furthermore, the study presents a detailed analysis of the asymptotic characteristics and interaction behaviors of these solutions.</p></div>\",\"PeriodicalId\":792,\"journal\":{\"name\":\"The European Physical Journal Plus\",\"volume\":\"140 8\",\"pages\":\"\"},\"PeriodicalIF\":2.9000,\"publicationDate\":\"2025-08-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal Plus\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjp/s13360-025-06729-8\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal Plus","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjp/s13360-025-06729-8","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
The solutions of the coupled D-type Kadomtsev–Petviashvili (cDKP) equation can conduct experiments with more complex interactions than the D-type Kadomtsev–Petviashvili (DKP) equation, according to comparative analysis. This article provides a comprehensive examination of the classical solutions within the cDKP system, encompassing its various reduced forms, notably the complex coupled D-type Korteweg–de Vries (cDKdV) equation and the coupled D-type Boussinesq equation. Furthermore, the study presents a detailed analysis of the asymptotic characteristics and interaction behaviors of these solutions.
期刊介绍:
The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences.
The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.