Painlevé analysis and exact solutions of bosonized N = 1 supersymmetric Burgers equation

Abstract

Based on the bosonization approach, the N = 1 supersymmetric Burgers (SB) system is transformed to a coupled pure bosonic system. The Painlevé property and the Bäcklund transformations (BT) of the bosonized SB (BSB) system are obtained through standard singularity analysis. Explicit solutions such as the muti-solitarywaves and error functionwaves are provided for the BT. The exact solutions of the BSB system are obtained from the generalized tanh expansion method.

Keywords

• supersymmetric Burgers equation
• bosonization approach
• Painlevé analysis
• generalized tanh expansion method
• 05.45.Yv, 02.20.Sv, 02.30.Jr, 11.30.Pb