Meromorphic solutions of the (2 + 1)- and the (3 + 1)-dimensional BLMP equations and the (2 + 1)-dimensional KMN equation

Abstract

The complex method is systematic and powerful to build various kinds of exact meromorphic solutions for nonlinear partial differential equations on the complex plane C{\mathbb{C}}. By using the complex method, abundant new exact meromorphic solutions to the (2+1)\left(2+1)-dimensional and the (3+1)\left(3+1)-dimensional Boiti-Leon-Manna-Pempinelli equations and the (2+1)\left(2+1)-dimension Kundu-Mukherjee-Naskar equation are investigated. Abundant new elliptic solutions, rational solutions and exponential solutions have been constructed.

Keywords

• complex method
• boiti-leon-manna-pempinelli equation
• kundu-mukherjee-naskar equation
• weiertrass elliptic function
• 30d35
• 34a05