Approximate solution to korteweg _ de vries (Kdv) equation by initial condition of Adomian decomposition method

ABSTRACT Recently, Adomian decomposition has become an important method of interest. This paper suggests robust solution of korteweg-de vries (Kdv) equation with initial condition suitableby using Adomian decomposition. We primarily evaluate advantage of this method to avoid simplifications and restrictions which change the non-linear problem to mathematically tractable one. Our work primarily depends on robust solution but it is not consistent with physical solution; substantial changes to those methods achieve results that are competitive with prior state-of-the-art methods. The exact solution obtains as a special case according to the initial condition.