An implicit semi-linear discretization of a bi-fractional Klein–Gordon–Zakharov system which conserves the total energy

2021 ◽  
Author(s):  
Romeo Martínez ◽  
Jorge E. Macías-Díaz ◽  
Qin Sheng
Keyword(s):  
Total Energy ◽  
Zakharov System ◽  
Klein Gordon

Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma

2015 ◽  
Vol 22 (10) ◽  
pp. 102304 ◽  
Author(s):  
Hui-Ling Zhen ◽  
Bo Tian ◽  
Ya Sun ◽  
Jun Chai ◽  
Xiao-Yong Wen
Keyword(s):  
High Frequency ◽  
Zakharov System ◽  
High Frequency Plasma ◽  
Frequency Plasma ◽  
Klein Gordon

Linear stability analysis for periodic travelling waves of the Boussinesq equation and the Klein–Gordon–Zakharov system

2014 ◽  
Vol 144 (3) ◽  
pp. 455-489 ◽  
Author(s):  
Sevdzhan Hakkaev ◽  
Milena Stanislavova ◽  
Atanas Stefanov
Keyword(s):  
Stability Analysis ◽  
Linear Stability ◽  
Wide Class ◽  
Boussinesq Equation ◽  
Travelling Waves ◽  
Periodic Waves ◽  
Zakharov System ◽  
Klein Gordon ◽  
Spatially Periodic ◽  
Stability Results

The question of the linear stability of spatially periodic waves for the Boussinesq equation (in the cases p = 2, 3) and the Klein–Gordon–Zakharov system is considered. For a wide class of solutions, we completely and explicitly characterize their linear stability (instability) when the perturbations are taken with the same period T. In particular, our results allow us to completely recover the linear stability results, in the limit T → ∞, for the whole-line case.

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