Dynamics and stability of soliton solutions for the seventh-order Sawada-Kotera-Ito equation with applications.

The seventh-order Sawada-Kotera-Ito equation is a fundamental nonlinear partial differential equation that arises in modeling complex wave phenomena in fluid dynamics and other physical systems. In this study, two analytical techniques, namely, the [Formula: see text]-model expansion method and the extended simplest equation method are employed to derive exact analytical solutions to the seventh-order Sawada-Kotera-Ito equation. As a result, we construct explicit solutions that describe solitary waves, kink and anti-kink waves, breather-type waves, and other wave structures.