New waves solutions of the (2+1)-dimensional generalized Hirota–Satsuma–Ito equation using a novel expansion method

Abstract

Numerous scientific fields depend on precise solutions, which can be obtained for nonlinear partial differential equations (PDEs) through various techniques. It is important to note that solutions obtained through different approaches can vary. The main objective of this research is to identify novel traveling wave solutions for the (2+1)-dimensional Generalized Hirota–Satsuma–Ito equation (GHSIE). Initially, the reduced form of the GHSIE is derived, and then, using the G′G′+G+A-Expansion method, new exact solutions are obtained including kink and lumps. These solutions depict the dynamics of nonlinear phenomena and are represented graphically as periodically solitary waves.

Keywords

• Traveling waves
• Exact solution
• Lump soliton