Multistage optimal homotopy asymptotic method for the K(2,2) equation arising in solitary waves theory

The paper is concern to the approximate analytical solution of K(2,2) using multistage homotopy asymptotic method which are used in modern physics and engineering. suggested algorithm an accurate, effective, simple to-utilize semi-analytic tool for non-linear problems, this manner current investigation highlights efficiency accuracy PDE large time span. Numerical comparison with variational iteration shows efficacy proposed method.