Spatial Self-Bending Soliton Phenomenon of (2+1) Dimensional bidirectional Sawada-Kotera Equation

Abstract

In this paper, we mainly study the spatial self-bending soliton phenomenon of the (2+1) dimensional bidirection-al Sawada-Kotera equation. The bilinear form of the (2+1)-dimensional bidirectional Sawada-Kotera equation is obtained by Hirota bilinear method, and then the N-soliton solution is obtained through special parameter constraints (e A js = 0), the spatial self-bending soliton is derived from the N-soliton solution, and the curvature of the spatial self-bending soliton is given furthermore, the interaction solution of spatial self-bending soliton and respiratory wave is obtained, and the interaction solution of spatial self-bending soliton and higher-order lump wave is obtained by using the method of long wave limit.