Exact solutions of supersymmetric Burgers equation with Bosonization procedure

Bo Ren; Xiao-Nan Gao; Jun Yu; Ping Liu

Open Mathematics (2015)

  • Volume: 13, Issue: 1
  • ISSN: 2391-5455

Abstract

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Using bosonization approach, the N=1 supersymmetric Burgers (SB) system is changed to a system of coupled bosonic equations. The difficulties caused by intractable anticommuting fermionic fields can be effectively avoided with the approach. By solving the coupled bosonic equations, the traveling wave solutions of the SB system can be obtained with the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered. In the meanwhile, the similarity reduction solutions of the SB system are also studied with the Lie point symmetries theory.

How to cite

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Bo Ren, et al. "Exact solutions of supersymmetric Burgers equation with Bosonization procedure." Open Mathematics 13.1 (2015): null. <http://eudml.org/doc/271754>.

@article{BoRen2015,
abstract = {Using bosonization approach, the N=1 supersymmetric Burgers (SB) system is changed to a system of coupled bosonic equations. The difficulties caused by intractable anticommuting fermionic fields can be effectively avoided with the approach. By solving the coupled bosonic equations, the traveling wave solutions of the SB system can be obtained with the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered. In the meanwhile, the similarity reduction solutions of the SB system are also studied with the Lie point symmetries theory.},
author = {Bo Ren, Xiao-Nan Gao, Jun Yu, Ping Liu},
journal = {Open Mathematics},
keywords = {Supersymmetric Burgers equation; Bosonization approach; Symmetry reduction; Exact solution},
language = {eng},
number = {1},
pages = {null},
title = {Exact solutions of supersymmetric Burgers equation with Bosonization procedure},
url = {http://eudml.org/doc/271754},
volume = {13},
year = {2015},
}

TY - JOUR
AU - Bo Ren
AU - Xiao-Nan Gao
AU - Jun Yu
AU - Ping Liu
TI - Exact solutions of supersymmetric Burgers equation with Bosonization procedure
JO - Open Mathematics
PY - 2015
VL - 13
IS - 1
SP - null
AB - Using bosonization approach, the N=1 supersymmetric Burgers (SB) system is changed to a system of coupled bosonic equations. The difficulties caused by intractable anticommuting fermionic fields can be effectively avoided with the approach. By solving the coupled bosonic equations, the traveling wave solutions of the SB system can be obtained with the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered. In the meanwhile, the similarity reduction solutions of the SB system are also studied with the Lie point symmetries theory.
LA - eng
KW - Supersymmetric Burgers equation; Bosonization approach; Symmetry reduction; Exact solution
UR - http://eudml.org/doc/271754
ER -

References

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