scholarly journals Exact Elliptic Solution for Non-Linear Klein-Gordon Equation Via Auxiliary Equation Method

2012 ◽  
Vol 2 (3) ◽  
pp. 55-57
Author(s):  
G. M. Moatimid ◽  
M. H. M. Moussa ◽  
Rehab M. El-Shiekh ◽  
A. A. El-Satar
Keyword(s):  
Gordon Equation ◽  
Equation Method ◽  
Auxiliary Equation ◽  
Elliptic Solution ◽  
Auxiliary Equation Method ◽  
Non Linear ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Exact Travelling Wave Solutions for Space-Time Fractional Klein-Gordon Equation and (2+1)-Dimensional Time-Fractional Zoomeron Equation via Auxiliary Equation Method

2020 ◽  
Vol 5 (1) ◽  
pp. 437-446 ◽  
Author(s):  
Muammer Topsakal ◽  
Filiz TaŞcan
Keyword(s):  
Gordon Equation ◽  
Travelling Wave ◽  
Space Time ◽  
Equation Method ◽  
Auxiliary Equation ◽  
Auxiliary Equation Method ◽  
New Exact Solutions ◽  
Different Types ◽  
Klein Gordon ◽  
Klein Gordon Equation

AbstractIn this paper, the new exact solutions of nonlinear conformable fractional partial differential equations(CFPDEs) are achieved by using auxiliary equation method for the nonlinear space-time fractional Klein-Gordon equation and the (2+1)-dimensional time-fractional Zoomeron equation. The technique is easily applicable which can be applied successfully to get the solutions for different types of nonlinear CFPDEs. The conformable fractional derivative(CFD) definitions are used to cope with the fractional derivatives.

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

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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