A new class of relatively undistorted progressing waves

被引：13

作者：

Borisov, VV

Kiselev, AP

机构：

[1] St Petersburg State Univ, Inst Phys, St Petersburg 198904, Russia

[2] Inst Engn Mech, St Petersburg 199178, Russia

来源：

APPLIED MATHEMATICS LETTERS | 2000年 / 13卷 / 04期

关键词：

complex ray theory; explicit solutions; progressing waves; wave equation; X-waves;

D O I：

10.1016/S0893-9659(99)00213-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of solutions to the linear wave equation with three spatial variables of the form g(x, y, z, t)f(theta(x, y, z, t)), where f(theta) is an arbitrary function of one variable, is presented. The functions a and g of time and all space variables are described in explicit form. Particular solutions from this new class have been considered earlier when describing the wave fields of sub- and superluminal sources. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：83 / 86

页数：4

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