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.

scholarly journals Relativistic scalar particle subject to a confining potential and Lorentz symmetry breaking effects in the cosmic string space–time

2016 ◽  
Vol 31 (07) ◽  
pp. 1650026 ◽  
Author(s):  
H. Belich ◽  
K. Bakke
Keyword(s):  
Symmetry Breaking ◽  
Cosmic String ◽  
Gordon Equation ◽  
Scalar Potential ◽  
Scalar Particle ◽  
Lorentz Symmetry ◽  
Space Time ◽  
Klein Gordon ◽  
Lorentz Symmetry Breaking ◽  
Klein Gordon Equation

The behavior of a relativistic scalar particle subject to a scalar potential under the effects of the violation of the Lorentz symmetry in the cosmic string space–time is discussed. It is considered two possible scenarios of the Lorentz symmetry breaking in the CPT-even gauge sector of the Standard Model Extension defined by a tensor [Formula: see text]. Then, by introducing a scalar potential as a modification of the mass term of the Klein–Gordon equation, it is shown that the Klein–Gordon equation in the cosmic string space–time is modified by the effects of the Lorentz symmetry violation backgrounds and bound state solution to the Klein–Gordon equation can be obtained.

scholarly journals Stability study of a model for the Klein–Gordon equation in Kerr space-time

2012 ◽  
Vol 45 (1) ◽  
pp. 203-227 ◽  
Author(s):  
Horst Reinhard Beyer ◽  
Miguel Alcubierre ◽  
Miguel Megevand ◽  
Juan Carlos Degollado
Keyword(s):  
Gordon Equation ◽  
Space Time ◽  
Stability Study ◽  
Klein Gordon ◽  
Kerr Space ◽  
Klein Gordon Equation
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