scholarly journals On the propagation of truncated localized waves in dispersive silica

2010 ◽  
Vol 18 (25) ◽  
pp. 25482 ◽  
Author(s):  
Mohamed A. Salem ◽  
Hakan Bagci
Keyword(s):  
Localized Waves ◽  
Dispersive Silica

scholarly journals Local Diffusion Theory for Localized Waves in Open Media

2010 ◽  
Vol 105 (26) ◽  
Author(s):  
Chu-Shun Tian ◽  
Sai-Kit Cheung ◽  
Zhao-Qing Zhang
Keyword(s):  
Diffusion Theory ◽  
Local Diffusion ◽  
Localized Waves

scholarly journals Dynamics of localized waves: Pulsed microwave transmissions in quasi-one-dimensional media

2009 ◽  
Vol 79 (14) ◽  
Author(s):  
Z. Q. Zhang ◽  
A. A. Chabanov ◽  
S. K. Cheung ◽  
C. H. Wong ◽  
A. Z. Genack
Keyword(s):  
One Dimensional ◽  
Localized Waves

N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

2021 ◽  
pp. 104312
Author(s):  
Xuejun Zhou ◽  
Onur Alp Ilhan ◽  
Jalil Manafian ◽  
Gurpreet Singh ◽  
Nalbiy Salikhovich Tuguz
Keyword(s):  
Interaction Solutions ◽  
Localized Waves

A method for constructing solutions of homogeneous partial differential equations: localized waves

1992 ◽  
Vol 437 (1901) ◽  
pp. 673-692 ◽  
Keyword(s):  
Wave Equation ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Gordon Equation ◽  
Partial Differential ◽  
Wave Solutions ◽  
Propagation Axis ◽  
Potential Applications ◽  
Klein Gordon ◽  
Localized Waves

We introduce a method for constructing solutions of homogeneous partial differential equations. This method can be used to construct the usual, well-known, separable solutions of the wave equation, but it also easily gives the non-separable localized wave solutions. These solutions exhibit a degree of focusing about the propagation axis that is dependent on a free parameter, and have many important potential applications. The method is based on constructing the space-time Fourier transform of a function so that it satisfies the transformed partial differential equation. We also apply the method to construct localized wave solutions of the wave equation in a lossy infinite medium, and of the Klein-Gordon equation. The localized wave solutions of these three equations differ somewhat, and we discuss these differences. A discussion of the properties of the localized waves, and of experiments to launch them, is included in the Appendix.

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