相对论简并量子等离子体中完全非线性重离子声波行波解的动力学研究  

Dynamics of Traveling Wave Solutions to Fully Nonlinear Heavy Ion-Acoustic Degenerate Relativistic Quantum Plasmas

作　　者：Leta Temesgen Desta 刘文军[1] 丁建[1] Leta Temesgen Desta;Liu Wenjun;Ding Jian(School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044;Department of Mathematics,Dilla University,P O Box 419,Dilla,Ethiopia)

机构地区：[1]南京信息工程大学数学与统计学院,南京210044 [2]Department of Mathematics,Dilla University,P O Box 419,Dilla,Ethiopia

出　　处：《数学物理学报（A辑）》2021年第2期496-506,共11页Acta Mathematica Scientia

基　　金：中国科学技术部国际杰青计划(Ethiopia-18-010);国家自然科学基金(11950410502,11771216);江苏省六大人才高峰计划(2015-XCL-020)。

摘　　要：基于离子声波模型的最新进展,研究了天体物理相对论简并量子等离子体(ADRQP)中完全非线性重离子声波(HIAWs)模型的动力学行为,以确定所有精确的显式行波解.为了保证上述解的存在性,确定了所有参数条件.研究过程表明模型具有有界解(包括扭结和反扭结波解、周期峰解、伪峰解和紧解),这些结果改进了对该模型行波解的研究.Based on recent advancements on ion-acoustic wave models,a fully nonlinear heavy ion-acoustic waves(HIAWs),in astrophysical degenerate relativistic quantum plasmas(ADRQP),which is studied by Sultana and Schlickeiser,is investigated.We study the dynamical behavior of the model to determine all exact explicit traveling wave solutions.To guarantee the existence of the aforementioned solutions,all parameter conditions are determined.Our procedure shows that the model has bounded solutions(including kink and anti-kink wave solutions,periodic peakon,pseudo-peakon wave solutions,and compact solutions).These results completely improve the study of traveling wave solutions for the mentioned model.

关 键 词：孤波解 周期峰 紧性解 扭波和反扭波 伪峰 分岔 奇异行波系统 

分 类 号：O175.2[理学—数学]