摘要
本文应用多重尺度约化微扰方法研究了充满流体的圆形弹性管壁上应力波的弱非线性调制问题。得到单模情形下波振幅所满足的非线性Schrodinger方程及其包络孤子解。
The reductive perturbation method of multiple-scales is used to investigate the weak nonlinear modulation of the stress wave on the wall of a fluid-filled elastic circular tube. The modulational equation, a nonlinear schrodinger equation, governing the envelope evolution of a wave-train is obtained. Then, a single solitary-wave solution of this equation is given.
出处
《声学学报》
EI
CSCD
北大核心
1989年第6期466-472,共7页
Acta Acustica
基金
国家自然科学基金
