Hirota bilinear approach for exploring diverse variety of solutions to (2+1)-dimensional bidirectional Sawada-Kotera equation

This article discusses the (2 + 1)-dimensional bidirectional SawadaKotera (bSK) equation, a mathematical model for nonlinear wave processes in various contexts like shallow water waves and fluid dynamics. The authors use Hirota’s bilinear form to establish an equivalent bilinear equation for the bSK equation, making it convenient to study. They also introduce a new testing function crucial for deriving explicit solutions, which are presented systematically with multiple arbitrary constants. The solutions encompass different types of solitons, and the article provides graphical representations to illustrate these patterns and their distinct properties. Overall, the article contributes to a deeper understanding of the bSK equation and its solutions, enhancing knowledge of nonlinear wave behaviors in diverse physical phenomena