scholarly journals Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models

2018 ◽  
Vol 17 (4) ◽  
pp. 1331-1347 ◽  
Author(s):  
Nabile Boussïd ◽  
◽  
Andrew Comech ◽  
◽  
◽  
...  
Keyword(s):  
Solitary Waves ◽  
Spectral Stability ◽  
Klein Gordon

scholarly journals Multi-Solitary Waves for the Nonlinear Klein-Gordon Equation

2014 ◽  
Vol 39 (8) ◽  
pp. 1479-1522 ◽  
Author(s):  
Jacopo Bellazzini ◽  
Marco Ghimenti ◽  
Stefan Le Coz
Keyword(s):  
Solitary Waves ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS

2002 ◽  
Vol 14 (04) ◽  
pp. 409-420 ◽  
Author(s):  
VIERI BENCI ◽  
DONATO FORTUNATO FORTUNATO
Keyword(s):  
Electromagnetic Field ◽  
Solitary Wave ◽  
Electric Field ◽  
Solitary Waves ◽  
Maxwell Equations ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

This paper is divided in two parts. In the first part we construct a model which describes solitary waves of the nonlinear Klein-Gordon equation interacting with the electromagnetic field. In the second part we study the electrostatic case. We prove the existence of infinitely many pairs (ψ, E), where ψ is a solitary wave for the nonlinear Klein-Gordon equation and E is the electric field related to ψ.

scholarly journals Instability of solitary waves for the generalized Klein–Gordon–Hartree equation

2019 ◽  
Author(s):  
Boyan Kostadinov ◽  
Mirko Tarulli ◽  
George Venkov
Keyword(s):  
Solitary Waves ◽  
Hartree Equation ◽  
Klein Gordon

scholarly journals Solitary waves for the Klein–Gordon–Dirac model

2012 ◽  
Vol 253 (7) ◽  
pp. 2263-2284 ◽  
Author(s):  
Guoyuan Chen ◽  
Youquan Zheng
Keyword(s):  
Solitary Waves ◽  
Klein Gordon
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