On the Inverse Ultrahyperbolic Klein-Gordon Kernel

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

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.

On nonlinear fractional Klein-Gordon equation

Numerical methods are used to find exact solution for the nonlinear differential equations. In the last decades Iterative methods have been used for solving fractional differential equations. In this paper, the Homotopy perturbation method has been successively applied for finding approximate analytical solutions of the fractional nonlinear Klein–Gordon equation can be used as numerical algorit...

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...

On Some Klein-gordon-schrödinger Type Systems

Abstract. We present some recent trends in the theory of Klein-Gordon-Schrödinger type Systems. Then we give some resent results on the following special type of a dissipative Klein-Gordon-Schrödinger System iψt + κψxx + iαψ = φψ, x ∈ Ω, t > 0, φtt − φxx + φ+ λφt = −Reψx, x ∈ Ω, t > 0, satisfying the initial and boundary conditions ψ(x, 0) = ψ0(x), φ(x, 0) = φ0(x), φt(x, 0) = φ1(x), x ∈ Ω, ψ(x,...