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.
@article{bwmeta1.element.doi-10_1515_math-2015-0047,
author = {Bo Ren and Xiao-Nan Gao and Jun Yu and Ping Liu},
title = {Exact solutions of supersymmetric Burgers equation with Bosonization procedure},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0047}
}
Bo Ren; Xiao-Nan Gao; Jun Yu; Ping Liu. Exact solutions of supersymmetric Burgers equation with Bosonization procedure. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0047/
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