The Hirota’s direct method and the tanh–coth method for multiple-soliton solutions of the Sawada–Kotera–Ito seventh-order equation

In this work, the Sawada–Kotera–Ito seventh-order equation is studied. The tanh–coth method is applied to obtain soliton solution of this equation. The Hirota’s direct method combined with the simplified Hereman’s method are applied to determine the N-soliton solutions for this equation. The study highlights the significant features of the employed methods and its capability of handling completely integrable equations.