Solutions of the Coupled Klein-Gordon Equation by Modified Exp-Function Method

2011 ◽  
Vol 3 (3) ◽  
pp. 276-278
Author(s):  
Ram Dayal Pankaj ◽  
◽  
Arun Kumar
Keyword(s):  
Function Method ◽  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation

Approximate symmetry and solutions of the nonlinear Klein–Gordon equation with a small parameter

2017 ◽  
Vol 14 (03) ◽  
pp. 1750046
Author(s):  
Mohammad Rahimian ◽  
Megerdich Toomanian ◽  
Mehdi Nadjafikhah
Keyword(s):  
Small Parameter ◽  
Analytical Solutions ◽  
Function Method ◽  
Gordon Equation ◽  
Hyperbolic Function ◽  
Approximate Symmetry ◽  
Nonlinear Phenomena ◽  
Hyperbolic Function Method ◽  
Klein Gordon ◽  
Klein Gordon Equation

In this paper, the Lie approximate symmetry analysis is applied to investigate new solutions of the nonlinear Klein–Gordon equation with a small parameter. The nonlinear Klein–Gordon equation is used to model many nonlinear phenomena. The hyperbolic function method and Riccati equation method are employed to solve some of the obtained reduced ordinary differential equations. We construct new analytical solutions with a small parameter which is effectively obtained by the proposed method.

scholarly journals Fractional Klein-Gordon equation with singular mass

2021 ◽  
Vol 143 ◽  
pp. 110579
Author(s):  
Arshyn Altybay ◽  
Michael Ruzhansky ◽  
Mohammed Elamine Sebih ◽  
Niyaz Tokmagambetov
Keyword(s):  
Gordon Equation ◽  
Klein Gordon ◽  
Klein Gordon Equation
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