Sawi Transform Based Homotopy Perturbation Method for Solving Shallow Water Wave Equations in Fuzzy Environment

In this manuscript, a new hybrid technique viz Sawi transform-based homotopy perturbation method is implemented to solve one-dimensional shallow water wave equations. general, the quantities involved with such equations are commonly assumed be crisp, but parameters in actual scenario may imprecise/uncertain. Therefore, fuzzy uncertainty introduced as an initial condition. The main focus of study find approximate solution well fuzzy, uncertain conditions. First, by taking condition series solutions obtained. Then these compared graphically existing solutions, showing reliability present method. Further, considering conditions terms Gaussian number, governing equation leads Finally, obtained proposed presented form number plots.