摘要
Based on the bosonization approach, the supersymmetric Burgers(SB) system is transformed to a coupled bosonic system. By solving the bosonized SB(BSB) equation, the difficulties caused by the anticommutative fermionic field of the SB equation can be avoided. The nonlocal symmetry for the BSB equation is obtained by the truncated Painlev′e method. By introducing multiple new fields, the finite symmetry transformation for the BSB equation is derived by solving the first Lie's principle of the prolonged systems. Some group invariant solutions are obtained with the similarity reductions related by the nonlocal symmetry.
Based on the bosonization approach, the supersymmetric Burgers （SB） system is transformed to a coupled bosonic system. By solving the bosonized SB （BSB） equation, the difficulties caused by the anticommutative fermionic field of the SB equation can be avoided. The nonlocal symmetry for the BSB equation is obtained by the truncated Painleve method. By introducing multiple new fields, the finite symmetry transformation for the BSB equation is derived by solving the first Lie＇s principle of the prolonged systems. Some group invariant solutions are obtained with the similarity reductions related by the nonlocal symmetry.
基金
Supported by the National Natural Science Foundation of China under Grant Nos.11675146,11305106,11472177,11275129
the Natural Science Foundation of Zhejiang Province of China under Grant No.LZ15A050001
