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In this paper, the linear superposition principle is used to investigate the bilinear form of the (2+1)-dimensional bidirectional Sawada-Kotera (bSK) equation. The resonant multiple wave solutions and complexiton solutions to the (2+1)-dimensional bidirectional Sawada-Kotera equation are constructed respectively. Especially, the positive complexiton solutions are derived. In addition, a few of analyses and three dimensional plots of complexiton solutions are made to show the dynamical features in detail.

In this paper, we study two extended (3+1)-dimensional Jimbo-Miwa equations by using the extended transformed rational function method. Consequently, we generate abundant exact solutions, especially the resonant multiple wave solutions, complexiton solutions and combining trigonometric, hyperbolic and exponential function solutions. Moreover, the detailed structures of generated solutions are presented analytically and graphically.