{"title":"带有卡帕分布电子的多种类彗星等离子体中的非线性离子声波传播动力学","authors":"Debprasad Pradhan, Debaditya Kolay, Debjit Dutta","doi":"10.1007/s13538-024-01534-7","DOIUrl":null,"url":null,"abstract":"<p>The existence of small-amplitude ion-acoustic solitary waves is investigated in a cometary plasma with five components: hot solar electrons, cometary electrons that are slightly colder, kappa-described hydrogen ions, and positively and negatively charged oxygen ions. The reductive perturbation method is implemented on the basic set of equations to derive the generalized Gardner equation and the solitary wave solution is obtained. Employing the traveling wave transformation, the Gardner equation is deduced for the dynamical system and the bifurcation of ion-acoustic waves (IAWs) is examined. The existence of several nonlinear trajectories, like homoclinic trajectories, quasi-periodic trajectories, and chaotic trajectories are confirmed by the notion of phase plane analysis, Poincare mapping, and Lyapunov exponents for IAWs. Finally, the numerical solutions are presented graphically, which provides a clear insight into the influence of physical parameters on wave propagation. This study could aid in the understanding of the propagation dynamics of ion-acoustic waves in cometary plasmas.</p>","PeriodicalId":499,"journal":{"name":"Brazilian Journal of Physics","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation Dynamics of Nonlinear Ion-Acoustic Waves in Multi-species Cometary Plasma with Kappa Distributed Electrons\",\"authors\":\"Debprasad Pradhan, Debaditya Kolay, Debjit Dutta\",\"doi\":\"10.1007/s13538-024-01534-7\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The existence of small-amplitude ion-acoustic solitary waves is investigated in a cometary plasma with five components: hot solar electrons, cometary electrons that are slightly colder, kappa-described hydrogen ions, and positively and negatively charged oxygen ions. The reductive perturbation method is implemented on the basic set of equations to derive the generalized Gardner equation and the solitary wave solution is obtained. Employing the traveling wave transformation, the Gardner equation is deduced for the dynamical system and the bifurcation of ion-acoustic waves (IAWs) is examined. The existence of several nonlinear trajectories, like homoclinic trajectories, quasi-periodic trajectories, and chaotic trajectories are confirmed by the notion of phase plane analysis, Poincare mapping, and Lyapunov exponents for IAWs. Finally, the numerical solutions are presented graphically, which provides a clear insight into the influence of physical parameters on wave propagation. This study could aid in the understanding of the propagation dynamics of ion-acoustic waves in cometary plasmas.</p>\",\"PeriodicalId\":499,\"journal\":{\"name\":\"Brazilian Journal of Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-07-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Brazilian Journal of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/s13538-024-01534-7\",\"RegionNum\":4,\"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":"Brazilian Journal of Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s13538-024-01534-7","RegionNum":4,"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}
Propagation Dynamics of Nonlinear Ion-Acoustic Waves in Multi-species Cometary Plasma with Kappa Distributed Electrons
The existence of small-amplitude ion-acoustic solitary waves is investigated in a cometary plasma with five components: hot solar electrons, cometary electrons that are slightly colder, kappa-described hydrogen ions, and positively and negatively charged oxygen ions. The reductive perturbation method is implemented on the basic set of equations to derive the generalized Gardner equation and the solitary wave solution is obtained. Employing the traveling wave transformation, the Gardner equation is deduced for the dynamical system and the bifurcation of ion-acoustic waves (IAWs) is examined. The existence of several nonlinear trajectories, like homoclinic trajectories, quasi-periodic trajectories, and chaotic trajectories are confirmed by the notion of phase plane analysis, Poincare mapping, and Lyapunov exponents for IAWs. Finally, the numerical solutions are presented graphically, which provides a clear insight into the influence of physical parameters on wave propagation. This study could aid in the understanding of the propagation dynamics of ion-acoustic waves in cometary plasmas.
期刊介绍:
The Brazilian Journal of Physics is a peer-reviewed international journal published by the Brazilian Physical Society (SBF). The journal publishes new and original research results from all areas of physics, obtained in Brazil and from anywhere else in the world. Contents include theoretical, practical and experimental papers as well as high-quality review papers. Submissions should follow the generally accepted structure for journal articles with basic elements: title, abstract, introduction, results, conclusions, and references.