Supersymmetric Ito equation: Bosonization and exact solutions | Zendy

Bo Ren | Zendy; Ji Lin | Zendy; Jun Yu | Zendy

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Supersymmetric Ito equation: Bosonization and exact solutions

Author(s) -

Bo Ren,

Ji Lin,

Jun Yu

Publication year - 2013

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4802969

Subject(s) - bosonization , homogeneous space , symmetry (geometry) , reduction (mathematics) , mathematical physics , point (geometry) , physics , supersymmetry , similarity (geometry) , mathematics , quantum mechanics , computer science , geometry , fermion , image (mathematics) , artificial intelligence

Based on the bosonization approach, the N=1 supersymmetric Ito (sIto) system is changed to a system of coupled bosonic equations. The approach can effectively avoid difficulties caused by intractable fermionic fields which are anticommuting. By solving the coupled bosonic equations, the traveling wave solutions of the sIto system are obtained with the mapping and deformation method. Some novel types of exact solutions for the supersymmetric system are constructed with the solutions and symmetries of the usual Ito equation. In the meanwhile, the similarity reduction solutions of the model are also studied with the Lie point symmetry theory

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