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

• Authors: Bo Ren
• Languages of publication: EN

Abstracts

EN

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

EN

supersymmetric Burgers equation; bosonizationapproach; Painlevé analysis; generalized tanh expansionmethod

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2015
• Volume: 13
• Issue: 1

Dates

received

1 - 1 - 2015

online

22 - 5 - 2015

accepted

3 - 4 - 2015

Contributors

author

Bo Ren

• Institute of Nonlinear Science,
  Shaoxing University, Shaoxing 312000, China

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Identifiers

DOI

10.1515/phys-2015-0027