【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。更多还原

【Abstract】 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.更多还原