Nonlinear interaction of a beam of finite density with a longitudinal wave

2012 ◽  
Vol 55 (4) ◽  
pp. 458-465 ◽  
Author(s):  
A. I. Matveev
1983 ◽  
Vol 30 (3) ◽  
pp. 345-357
Author(s):  
Shukla Basu (De) ◽  
R. K. Roychowdhury

The nonlinear interaction of two three-wave systems, including the possibility of negative energy waves in the presence of linear damping or growth and frequency mismatch, is investigated in a plasma, where one system of two transverse and one longitudinal wave interacts with a system of three longitudinal waves, and one of the longitudinal waves introduces coupling between the two subsystems. The solutions are analysed under various initial conditions and it is shown that, if one triplet be explosively unstable by itself, the presence of the second triplet can stabilize the solutions, depending on the relative strength of the coupling factor.


2002 ◽  
Vol 8 (5-6) ◽  
pp. 96-101
Author(s):  
V.N. Fedun ◽  
◽  
A.K. Yukhimuk ◽  
A.D. Voitsekhovska ◽  
О.К. Cheremnykh ◽  
...  

2017 ◽  
Vol 13 (1) ◽  
pp. 4522-4534
Author(s):  
Armando Tomás Canero

This paper presents sound propagation based on a transverse wave model which does not collide with the interpretation of physical events based on the longitudinal wave model, but responds to the correspondence principle and allows interpreting a significant number of scientific experiments that do not follow the longitudinal wave model. Among the problems that are solved are: the interpretation of the location of nodes and antinodes in a Kundt tube of classical mechanics, the traslation of phonons in the vacuum interparticle of quantum mechanics and gravitational waves in relativistic mechanics.


1975 ◽  
Author(s):  
Bruce J. West ◽  
Bruce I. Cohen ◽  
Kenneth M. Watson

2007 ◽  
Vol 5 ◽  
pp. 212-220 ◽  
Author(s):  
M.A. Ilgamov ◽  
A.G. Khakimov

This article investigates the reflection of a longitudinal wave from the transverse notch and its movement along an infinite rod. The dependence is obtained between the reflected wave and parameters of the notch. The statement of the inverse problem allows defining the coordinate of the notch and the parameter that contains its depth and length using data on both the incident and reflected waves at the observation point.


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