Exact Solutions of the Symmetric Regularized Long Wave Equation and the Klein-Gordon-Zakharov Equations

WAVELET SOLUTIONS OF THE KLEIN-GORDON EQUATION

New exact traveling wave solutions for the Klein-Gordon-Zakharov equations

Based on the extended hyperbolic functions method, we obtain the multiple exact explicit solutions of the Klein–Gordon–Zakharov equations. The solutions obtained in this paper include (a) the solitary wave solutions of bell-type for u and n, (b) the solitary wave solutions of kink-type for u and bell-type for n, (c) the solitary wave solutions of a compound of the bell-type and the kink-type fo...

A Note on Exact Travelling Wave Solutions for the Klein–Gordon– Zakharov Equations

where the function u(x, t) denotes the fast time scale component of the electric field raised by electrons, and the function n(x, t) denotes the deviation of the ion density from its equilibrium. Here u(x, t) is a complex function, n(x, t) is a real function, α , β are two nonzero real parameters. This system describes the interaction of the Langmuir wave and the ion acoustic wave in a high fre...

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.

Solving nonlinear space-time fractional differential equations via ansatz method

In this paper, the fractional partial differential equations are defined by modified Riemann-Liouville fractional derivative. With the help of fractional derivative and fractional complex transform, these equations can be converted into the nonlinear ordinary differential equations. By using solitay wave ansatz method, we find exact analytical solutions of the space-time fractional Zakharov Kuz...