scholarly journals Quasi-periodic solutions to the two-component nonlinear Klein–Gordon equation

2013 ◽  
Vol 66 ◽  
pp. 1-17 ◽  
Author(s):  
Lihua Wu ◽  
Guoliang He ◽  
Xianguo Geng
Keyword(s):  
Periodic Solutions ◽  
Gordon Equation ◽  
Two Component ◽  
Klein Gordon ◽  
Klein Gordon Equation

scholarly journals Conservation laws of coupled semilinear wave equations

2016 ◽  
Vol 30 (28n29) ◽  
pp. 1640004 ◽  
Author(s):  
Stephen C. Anco ◽  
Chaudry Masood Khalique
Keyword(s):  
Conservation Laws ◽  
Wave Equations ◽  
Gordon Equation ◽  
Complete Classification ◽  
Conserved Quantities ◽  
Semilinear Wave Equations ◽  
Two Component ◽  
Klein Gordon ◽  
Klein Gordon Equation

A complete classification of all low-order conservation laws is carried out for a system of coupled semilinear wave equations which is a natural two-component generalization of the nonlinear Klein–Gordon equation. The conserved quantities defined by these conservation laws are derived and their physical meaning is discussed.

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

scholarly journals Bound states of a Klein–Gordon particle in the presence of a smooth potential well

2020 ◽  
Vol 35 (23) ◽  
pp. 2050140
Author(s):  
Eduardo López ◽  
Clara Rojas
Keyword(s):  
Bound States ◽  
Gordon Equation ◽  
Bound State ◽  
Potential Well ◽  
One Dimensional ◽  
Smooth Potential ◽  
Klein Gordon ◽  
The One ◽  
Potential Parameters ◽  
Klein Gordon Equation

We solve the one-dimensional time-independent Klein–Gordon equation in the presence of a smooth potential well. The bound state solutions are given in terms of the Whittaker [Formula: see text] function, and the antiparticle bound state is discussed in terms of potential parameters.

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