Spatial self-bending soliton phenomenon of (2+1) dimensional bidirectional Sawada-Kotera equation

Abstract

In this study, we delve into the phenomenon of spatial self-bending solitons within the context of the (2+1)-dimensional bidirectional Sawada-Kotera equation. By employing the Hirota bilinear method, the bilinear form of the (2+1)-dimensional bidirectional Sawada-Kotera equation can be obtained. Through specific parameter constraints (eAjs=0), we establish the N-soliton solution and subsequently derive the spatial self-bending soliton. The curvature of this spatial self-bending soliton is also elucidated. Additionally, we explore the interaction between the spatial self-bending soliton and respiratory waves, along with the interaction between the spatial self-bending soliton and higher-order lump waves through the method of the long wave limit.