A wave operator for a non-linear Klein-Gordon equation

1983 ◽  
Vol 7 (5) ◽  
pp. 387-398 ◽  
Author(s):  
Jacques C. H. Simon
Keyword(s):  
Wave Operator ◽  
Gordon Equation ◽  
Non Linear ◽  
Klein Gordon ◽  
Klein Gordon Equation

A Bohmian approach to the perturbations of non-linear Klein–Gordon equation

Pramana ◽  
2016 ◽  
Vol 87 (2) ◽  
Author(s):  
FARAMARZ RAHMANI ◽  
MEHDI GOLSHANI ◽  
MOHSEN SARBISHEI
Keyword(s):  
Gordon Equation ◽  
Non Linear ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals On the Exact Boundary Control for the Linear Klein-Gordon Equation in Non-cylindrical Domains

2020 ◽  
Vol 21 (2) ◽  
pp. 371
Author(s):  
R. S. O. Nunes
Keyword(s):  
Initial Data ◽  
Wave Operator ◽  
Gordon Equation ◽  
Controllability Problem ◽  
Exact Boundary Controllability ◽  
Boundary Controllability ◽  
Exact Boundary ◽  
Cylindrical Domains ◽  
Klein Gordon ◽  
Klein Gordon Equation

The purpose of this paper is to study an exact boundary controllability problem in noncylindrical domains for the linear Klein-Gordon equation. Here, we work near of the extension techniques presented By J. Lagnese in [12] which is based in the Russell’s controllability method. The control time is obtained in any time greater then the value of the diameter of the domain on which the initial data are supported. The control is square integrable and acts on whole boundary and it is given by conormal derivative associated with the above-referenced wave operator.

Conserved quantities for the non-linear Klein–Gordon equation

2013 ◽  
Vol 25 (3) ◽  
pp. 833-840
Author(s):  
Adil Jhangeer ◽  
Sumaira Sharif
Keyword(s):  
Gordon Equation ◽  
Conserved Quantities ◽  
Non Linear ◽  
Klein Gordon ◽  
Klein Gordon Equation

Weakly non-linear, slowly varying waves and their instabilities

1972 ◽  
Vol 72 (1) ◽  
pp. 95-104 ◽  
Author(s):  
R. Grimshaw
Keyword(s):  
Variational Principle ◽  
Gordon Equation ◽  
Transport Equations ◽  
Linear Wave ◽  
Leading Order ◽  
Non Linear ◽  
Klein Gordon ◽  
Wave Trains ◽  
Klein Gordon Equation

AbstractA non-linear Klein–Gordon equation is used to discuss the theory of slowly varying, weakly non-linear wave trains. An averaged variational principle is used to obtain transport equations for the slow variations which incorporate the leading order modulation and non-linear terms. Linearized transport equations are used to discuss instabilities.

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