The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional

It is renowned that Hirota–Satsuma–Ito (HSI) equation widely used to study wave dynamics of shallow water. In this work, two new HSI-like equations are investigated which could be extended diversify problems in natural phenomena and give admirable contributions by applying the generalized exponential rational function method (GERFM). With aid symbolic calculations, various constraints on free parameters given, while classes solutions explicitly constructed from coefficients combined non-linear dissipative terms. After specifying values for parameters, singular, periodic singular anti-kink waves demonstrated 3D figures exhibit different kinds propagations. The fact directly influence amplitude speed traveling illustrated. derived results innovative have important applications current field mathematical physics research. Eventually, we show effective straightforward solve higher-order high-dimensional evolution equations.