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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Dynamics of solitary waves through taper-thin elastic tube with localized deformation
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Dynamics of solitary waves through taper-thin elastic tube with localized deformation

机译：局部变形的锥细弹性管中孤波的动力学

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In order to elucidate the dynamical behaviour of nonlinear waves in tapered-thin and elastic tubes with localized deformations, we have developed a mathematical model based on equations of inviscid fluid flow in a slowly tapered cone tube. Numerical simulation of the resulting perturbed Korteveg-de Vries equation shows that the amplitude of the velocity wave decreases along the tube as the results of the decrease of the radius and the increase of the rigidity: we also find that the velocity of the pulse velocity wave increases. In the localized deformation area. after some fluctuations, the wave suffers important variations consisting firstly (in the case of constriction) by a decrease and then by an increase. The severity and the length of the variation depend respectively on the amplitude and the gradient scale of the localized deformation. Some biological implications are given. [References: 21]
机译：为了阐明锥形细管和弹性管中具有局部变形的非线性波的动力学行为，我们基于缓慢锥形管中不粘流体的流动方程，开发了一个数学模型。所得扰动的Korteveg-de Vries方程的数值模拟表明，随着半径的减小和刚度的增加，速度波的振幅沿管子减小：我们还发现脉冲速度波的速度增加。在局部变形区域。在一些波动之后，波浪遭受重要的变化，首先是（在收缩的情况下）减小然后增加。变化的严重程度和长度分别取决于局部变形的幅度和梯度尺度。给出了一些生物学意义。 [参考：21]

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