Non-singular complexiton, singular complexiton and the breather wave solutions to the (2 + 1)-dimensional Sawada-Kotera equation

Abstract

This work aims to construct some novel exact solutions of the (2 + 1)-dimensional Sawada-Kotera equation (SKE). First, the resonant multiple soliton solutions (RMSSs) are discussed by employing the weight algorithm (WA) and linear superposition principle (LSP). Then, based on the RMSSs, the non-singular complexiton and singular complexiton solutions are developed by taking pairs of the conjugate parameters. Finally, the breather wave solutions (BWSs) of the sin-cosh type are explored through the symbolic computation and test function method. The dynamics of the corresponding extracted solutions are displayed graphically for showing the physical properties. The achievements of this article can provide some new insights to the (2 + 1)-dimensional SKE.