Solitons and their interactions in a tapered aorta

被引：4
|
作者：
Zhao, Li-hua [1 ]
Wang, Yue-yue [1 ]
Dai, Chao-qing [1 ]
机构：
[1] Zhejiang A&F Univ, Sch Sci, Linan 311300, Zhejiang, Peoples R China
来源：
PHYSICA SCRIPTA | 2011年 / 84卷 / 06期
基金：
中国国家自然科学基金;
关键词：
THIN ELASTIC TUBE; SOLITARY WAVES; NONLINEAR-ANALYSIS; ACOUSTIC-WAVES; PROPAGATION; EQUATION; FLOW;
D O I：
10.1088/0031-8949/84/06/065401
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, a modified nonlinear Schrodinger equation governing the solitary wave motion of blood in an aortic vessel is obtained. One- and two-soliton solutions are given by using the Darboux transformation. The analytic results show that the nonlinear coefficient of elasticity and Young's modulus have a strong influence on the amplitude of a soliton. Furthermore, different interactions of two solitons are investigated.
引用
收藏
页数：5
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