Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

Topological Soliton Solution and Bifurcation Analysis of the Klein-Gordon-Zakharov Equation in (1+1)-Dimensions with Power Law Nonlinearity

This paper addresses the Klein-Gordon-Zakharov equation with power law nonlinearity in (1 + 1)-dimensions. The integrability aspect as well as the bifurcation analysis is studied in this paper.The numerical simulations are also given where the finite difference approach was utilized. There are a few constraint conditions that naturally evolve during the course of derivation of the soliton solut...

Soliton ratchets in homogeneous nonlinear Klein-Gordon systems.

We study in detail the ratchetlike dynamics of topological solitons in homogeneous nonlinear Klein-Gordon systems driven by a biharmonic force. By using a collective coordinate approach with two degrees of freedom, namely the center of the soliton, X(t), and its width, l(t), we show, first, that energy is inhomogeneously pumped into the system, generating as result a directed motion; and, secon...

Analytical solutions for the fractional Klein-Gordon equation

In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.

Introducing Stable Real Non-Topological Solitary Wave Solutions in 1+1 Dimensions

By adding a proper term to the Lagrangian density of a real non-linear KG system with a proposed non-topological unstable solitary wave solution, its stability guaranteed appreciably. This additional term in the new modified Lagrangian density behaves like a strong internal force which stands against any arbitrary small deformation in the proposed non-topological solitary wave solution.

On a System of Dirac-Klein-Gordon Type in 1+1 Dimensions