摘要
本文研究弹性管中流体运动时,流体与管壁的流固耦合非线性波问题.在轴对称弹性薄壁圆管和无粘流体的假没下,用多重尺度微扰方法导出了管壁径向位移所服从的非线性Schrodinger方程,并求出了非线性调制孤波解.
The nonlinear wave in the coupling problem of fluid withsolid is studied. Under the assumption that the elastic round pipe isaxial symmetry, the wall is thin and the fluid flowing in the pipe isincompressible and its viscosity can be neglected, the nonlinear Schrod-ingder equation controlled by the radial displacement of pipe wall isderived by the method of multiple scales, and the nonlinear modulatingsolitary wave solution is obtained.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第3期8-12,共5页
Natural Science Journal of Xiangtan University
基金
国家自然科学基金
关键词
孤立波
弹性管
非线性
薛定锷方程
solitary wave
elastic pipe
nonlinear Schrodinger equation
