弹性管中的怪波  

Rouge waves in fluid-filled elastic tube

作　　者：陈智敏 段文山[1] Chen Zhi-Min;Duan Wen-Shan(College of Physics and Electronic Engineering,Northwest Normal University,Lanzhou 730070,China)

机构地区：[1]西北师范大学物理与电子工程学院

出　　处：《物理学报》2020年第1期143-148,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11965019)资助的课题~~

摘　　要：利用约化摄动法,推导了流体在弹性管中的非线性薛定谔方程(NLSE).由非线性薛定谔方程的解来近似地描述出真实的怪波,继而研究怪波解中各个参数对怪波系统振幅、波速的影响.最后将这一模型应用到人体血管中,研究怪波在人体动脉血管中传播对人体健康的影响.By the reductive perturbation method,we investigate the Rogue waves in a fluid-filled elastic tube.Based on a nonlinear Schrodinger equation obtained from a fluid-filled elastic tube,the rouge wave solution in the fluid-filled elastic tube is discussed.The characteristics of a single rouge waveare studied for this system.Then,the effects of the system parameters,such as the wave number k,the parameters?,the density of the fluid,the thickness of the elastic tube,the Yang’s modulus of the elastic tube,and the radius of the elastic tube on the rouge wave are also investigated.Finally,the model is applied to the blood vessels of both animal and the human to ascertain the effects of the rouge wave in different arteries and vessels.The results of the present study may have potential applications in medical science.

关 键 词：约化摄动法 非线性薛定谔方程 怪波解 动脉血管 

分 类 号：O41[理学—理论物理]