Global weak entropy solutions to quasilinear wave equations of Klein-Gordon and Sine-Gordon type

Global Weak Entropy Solutions to Quasilinear Wave Equations of Klein{gordon and Sine{gordon Type

We establish the existence of global Lipschitz continuous weak entropy solutions to the Cauchy problem for a class of quasilinear wave equations with an external positional force. We prove the consistency and the convergence of uniformly bounded nite{diierence fractional step approximations. Therefore the uniform bound is shown to hold for globally Lipschitz continuous external forces.

Global Weak Solutions of the Relativistic Vlasov-klein-gordon System

We consider an ensemble of classical particles coupled to a KleinGordon field. For the resulting nonlinear system of partial differential equations, which we call the relativistic Vlasov-Klein-Gordon system, we prove the existence of global weak solutions for initial data satisfying a size restriction. The latter becomes necessary since the energy of the system is indefinite, and only for restr...

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Generalized solitary wave solutions for the Klein-Gordon-Schrödinger equations

Some new generalized solitary solutions of the Klein–Gordon–Schrödinger equations are obtained using the Exp-function method, which include some known solutions obtained by the F-expansion method and the homogeneous balance method in the open literature as special cases. It is shown that the Exp-function method is a straight, concise, reliable and promising mathematical tool for solving nonline...

solutions of the perturbed klein-gordon equations

this paper studies the perturbed klein-gordon equation by the aid of several methods of integrability. there are six forms of nonlinearity that are considered in this paper. the parameter domains are thus identified.