Soliton Solutions And Periodic Wave Solutions For Two Nonlinear Evolution Equations

In this paper,two nonlinear evolution equations,a(3+1)-dimensional Hirota bilinear equation and a(2+1)-dimensional bidirectional Sawada-Kotera equation,are investigated.The discussion is focused on three aspects.Based on bilinear form, soliton solution of the latter equation is constructed.In the light of the Bell polynomials,bilinear B?cklund transformation of two equations are derived,respectively.By combining bilinear form with Riemann theta function,periodic wave solutions for both equations are obtained.Meanwhile,pictures of soliton solutions and periodic wave solutions are illustrated by software.