New Analytical Method and Application for Solve the Nonlinear Wave Equation

Abstract

:The proposed analytical approach is a sophisticated grouping of Elzaki Transform and Homotopy Analysis Method (HAM), called Homotopy Analysis Elzaki Transform (HAET) method, for solving Non-linear Wave System which is combination of two wave equations (Telegraph and Klein Gordon (K-G) Type Equations). This study will be exemplifying to well-becoming character of HAET method. The obtained solution is graphically sketched.