Lump-type solutions and interaction phenomenon to the bidirectional Sawada–Kotera equation

Abstract

In this paper, we use the Hirota bilinear method. With the help of symbolic calculation and applying this method, we solve the \((2+1)\) -dimensional bidirectional Sawada–Kotera (bSK) equation to obtain some new lump-kink, lump-solitons, periodic kink-wave, periodic soliton and periodic wave solutions.

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