New Exact Solutions of (2+1)-Dimensional vDJKM and (3+1)-Dimensional BLMP Equations

Abstract

The (2+1)-dimensional variable-coefficient Date–Jimbo–Kashiwara–Miwa (vDJKM) and the (3+1)-dimensional Boiti–Leon–Manna-Pempinelli (BLMP) equations have been examined to acquire new soliton solutions of the non-linear evolution equations (NLEEs). Furthermore, we have employed the sigmoid function method to achieve exact solutions of the vDJKM and BLMP equation. Finally, the attained results show different physical natures in various conditions which have been presented graphically.