The Homotopy-Perturbation Method for Solving Klein-Gordon-Type Equations with Unbounded Right- Hand Side

Key words: Klein–Gordon Equation; Exponential Time Differencing; Integrating Factor; Spectral Methods; High Accuracy; Soliton; Conservation of

With the aid of the symbolic computation system Mathematica, many exact solutions for the Fitzhugh-Nagumo equation and the Klein-Gordon equation with a quadratic nonlinearity are

With the aid of the symbolic computation system Mathematica, many exact solutions for the Fitzhugh-Nagumo equation and the Klein-Gordon equation with a quadratic nonlinearity are

The purpose of the presented paper is to extend the class of solvable Klein-Gordon- and sine-Gordon-type equations by introducing the new type of initial con- ditions.. We apply

We apply a relatively new technique which is called the homotopy perturbation method (HPM) for solving linear and nonlinear partial differential equations.. The suggested algorithm

The results reveal that the HPM is very effective, convenient and quite accurate to such types of partial differential equations. Key words: Homotopy Perturbation Method;

Applying a symmetry group theorem on a two-straight-line soliton, some types of new localized multiply curved line excitations including the plateau-basin type ring solitons

In this paper, two transformations are introduced to solve the double sine-Gordon equation by using knowledge of the elliptic equation and Jacobian ellip- tic functions.. It is