On coupled Klein-Gordon-Schrödinger equations, II

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...

On the exchange of energy in coupled Klein-Gordon equations

We consider a system of coupled Klein-Gordon equations, which models one-dimensional nonlinear wave processes in two-component media. We find both linear and nonlinear solutions involving the exchange of energy between the different components of the system. The solutions are a continuum generalization of the classical example of energy exchange in Mandelshtam’s system of coupled pendulums. PAC...

Singular Limits of Klein-Gordon-Schrödinger Equations to Schrödinger-Yukawa Equations

In this paper, we study analytically and numerically the singular limits of the nonlinear Klein–Gordon–Schrödinger (KGS) equations in Rd (d = 1, 2, 3) both with and without a damping term to the nonlinear Schrödinger–Yukawa (SY) equations. By using the two-scale matched asymptotic expansion, formal limits of the solution of the KGS equations to the solution of the SY equations are derived with ...

On Coupled Klein-Gordon-Schrödinger Equations with Acoustic Boundary Conditions

Numerical Treatment of Coupled Nonlinear Hyperbolic Klein-gordon Equations

E.H. DOHA1,a, A.H. BHRAWY2,3,b, D. BALEANU4,5,6,c, M.A. ABDELKAWY3,d 1Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt, E-mail: [email protected] 2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia, E-mail: [email protected] 3Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef 62511, E...