General high-order breather solutions, lump solutions and mixed solutions in the (2+1)-dimensional bidirectional Sawada-Kotera equation

In this paper, we investigate some interesting solution structures of the (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation. We obtain general high-order breather solutions by utilizing the Hirota's bilinear method united with the perturbation expansion technique. Taking a long-wave limit of the obtained breather solutions and then making particular parameter constraints, smooth rational solutions are generated, which include high-order lumps and mixed solutions consisting of lumps and stripe. In order to easily explore the dynamical behaviors, some plots are presented to analyse these solutions. Copyright © 2020 Shanghai Normal University & Wilmington Scientific Publisher.