Extended Klein-Gordon action, gravity and nonrelativistic fluid

Nonrelativistic limit of Klein-Gordon-Maxwell to Schrödinger-Poisson

Analysis and comparison of numerical methods for the Klein-Gordon equation in the nonrelativistic limit regime

Weanalyze rigourously error estimates and comparenumerically temporal/ spatial resolution of various numerical methods for solving the Klein–Gordon (KG) equation in the nonrelativistic limit regime, involving a small parameter 0 < ε 1 which is inversely proportional to the speed of light. In this regime, the solution is highly oscillating in time, i.e. there are propagating waves with wavelengt...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Finite Action Klein-Gordon Solutions on Lorentzian Manifolds

The eigenvalue problem for the square integrable solutions is studied usually for elliptic equations. In this note we consider such a problem for the hyperbolic KleinGordon equation on Lorentzian manifolds. The investigation could help to answer the question why elementary particles have a discrete mass spectrum. An infinite family of square integrable solutions for the Klein-Gordon equation on...

Nonlinear Klein-Gordon Equation

An extended ( ′ G )–expansion method is obtained by improving the form of solution in ( G′ G )– expansion method which is proposed in recent years. By using the extended ( ′ G )–expansion method and with the aid of homogeneous balance principle, many explicit and exact travelling wave solutions with two arbitrary parameters to the Klein-Gordon equation are presented, including the hyperbolic so...