A relation between two simple localized solutions of the wave equation

被引：0
作者：
Blagoveshchensky, A. S. [1 ]
Kiselev, A. P. [1 ,2 ,3 ]
机构：
[1] St Petersburg State Univ, St Petersburg 199034, Russia
[2] Russian Acad Sci, Steklov Math Inst, St Petersburg Branch, St Petersburg 191023, Russia
[3] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg 199178, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
wave equation; localized solutions; exact solutions;
D O I：
10.1134/S0965542517060057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A relation between two previously known exact solutions of the wave equation that describe propagation of localized waves is found.
引用
收藏
页码：953 / 955
页数：3
相关论文
共 8 条
  • [1] Blagovestchenskii A. S., 2017, J MATH SCI, V224, P47
  • [2] Hernandez-Figueroa H. E., 2013, LOCALIZED WAVES
  • [3] COMPLEX-SOURCE PULSED-BEAM FIELDS
    HEYMAN, E
    FELSEN, LB
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1989, 6 (06): : 806 - 817
  • [4] THE COURANT-HILBERT SOLUTIONS OF THE WAVE-EQUATION
    HILLION, P
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (08) : 2749 - 2753
  • [5] Hormander L., 1983, ANAL LINEAR PARTIAL
  • [6] Beam modes beyond the paraxial approximation: A scalar treatment
    Sheppard, CJR
    Saghafi, S
    [J]. PHYSICAL REVIEW A, 1998, 57 (04): : 2971 - 2979
  • [7] Complexified spherical waves and their sources. A review
    Tagirdzhanov, A. M.
    Kiselev, A. P.
    [J]. OPTICS AND SPECTROSCOPY, 2015, 119 (02) : 257 - 267
  • [8] 'Complex source' wavefields: sources in real space
    Tagirdzhanov, Azat M.
    Blagovestchenskii, Alexander S.
    Kiselev, Aleksei P.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2011, 44 (42)
1