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

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 a...

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Bibliographic Details
Main Author: Ren Bo
Format: Article
Language:English
Published: De Gruyter 2015-05-01
Series:Open Physics
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Online Access:http://www.degruyter.com/view/j/phys.2015.13.issue-1/phys-2015-0027/phys-2015-0027.xml?format=INT
Description
Summary: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.
ISSN:2391-5471