scholarly journals On the Spectral Stability of Kinks in Some PT-Symmetric Variants of the Classical Klein-Gordon Field Theories

2014 ◽  
Vol 133 (3) ◽  
pp. 298-317 ◽  
Author(s):  
A. Demirkaya ◽  
T. Kapitula ◽  
P.G. Kevrekidis ◽  
M. Stanislavova ◽  
A. Stefanov
Keyword(s):  
Spectral Stability ◽  
Field Theories ◽  
Klein Gordon

scholarly journals Covariant reduction of classical Hamiltonian Field Theories: From D’Alembert to Klein–Gordon and Schrödinger

2020 ◽  
Vol 35 (23) ◽  
pp. 2050214
Author(s):  
F. M. Ciaglia ◽  
F. Di Cosmo ◽  
A. Ibort ◽  
G. Marmo ◽  
L. Schiavone
Keyword(s):  
Equations Of Motion ◽  
Symplectic Reduction ◽  
Field Theories ◽  
Reduction Procedure ◽  
Departure Point ◽  
Four Dimensions ◽  
Minkowski Space Time ◽  
Dimensional Minkowski Space ◽  
Klein Gordon ◽  
Reduced Space

A novel reduction procedure for covariant classical field theories, reflecting the generalized symplectic reduction theory of Hamiltonian systems, is presented. The departure point of this reduction procedure consists in the choice of a submanifold of the manifold of solutions of the equations describing a field theory. Then, the covariance of the geometrical objects involved, will allow to define equations of motion on a reduced space. The computation of the canonical geometrical structure is performed neatly by using the geometrical framework provided by the multisymplectic description of covariant field theories. The procedure is illustrated by reducing the D’Alembert theory on a five-dimensional Minkowski space-time to a massive Klein–Gordon theory in four dimensions and, more interestingly, to the Schrödinger equation in 3 + 1 dimensions.

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
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