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On the solution of the wave equation asymptotically localized at infinity

机译:关于无穷大时渐近局部化的波动方程的解

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The explicit solutions of a wave equation in 3 dimensions found by Moses and Prosser (1990) and called 'bullets' are studied in detail. These solutions behave for t/spl rarr/+/spl infin/ as the characteristic function of an intersection of the annulus ct+a>r>ct+b and the circular cone divided by r, where r is the spherical radius, c is the wave speed, a, b=const, a>b. We establish that such a solution tends to a plane wave when the cone becomes narrow.
机译:通过摩西和Prosser(1990)发现的3个维度中的波浪方程的显式解和称为“子弹”。这些解决方案的表现为T / SPL RART / + / SPL INFIN /作为环形CT + A> R> CT + B的交叉点的特征函数,并且圆锥除以R,其中R是球形半径,C是波速,a,b = const,a> b。当锥体变窄时,我们确定这种解决方案倾向于平面波。

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