scholarly journals The Cauchy problem for the Klein–Gordon equation under the quartic potential in the de Sitter spacetime

2021 ◽  
Vol 62 (12) ◽  
pp. 121509
Author(s):  
Makoto Nakamura
Keyword(s):  
Cauchy Problem ◽  
Gordon Equation ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Quartic Potential ◽  
Sitter Spacetime ◽  
The Cauchy Problem ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Approximate solutions to the nonlinear Klein-Gordon equation in de Sitter spacetime

Open Physics ◽  
2016 ◽  
Vol 14 (1) ◽  
pp. 314-320 ◽  
Author(s):  
Muhammet Yazici ◽  
Süleyman Şengül
Keyword(s):  
Gordon Equation ◽  
Variational Iteration Method ◽  
Approximate Solutions ◽  
De Sitter Spacetime ◽  
De Sitter ◽  
Initial Value ◽  
Transform Method ◽  
Sitter Spacetime ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractWe consider initial value problems for the nonlinear Klein-Gordon equation in de Sitter spacetime. We use the differential transform method for the solution of the initial value problem. In order to show the accuracy of results for the solutions, we use the variational iteration method with Adomian’s polynomials for the nonlinearity. We show that the methods are effective and useful.

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