A Homotopy-Analysis Approach for Nonlinear Wave-Like Equations with Variable Coefficients

الملخص EN

We are interested in the approximate analytical solutions of the wave-likenonlinear equations with variable coefficients.

We use a wave operator,which provides a convenient way of controlling all initial and boundaryconditions.

The proposed choice of the auxiliary operator helps to find theapproximate series solution without any discretization, linearization, orrestrictive assumptions.

Several examples are given to verify thereliability and efficiency of the method.