Supersymmetric Ito equation: Bosonization and exact solutions

Journal Article · Mon Apr 15 00:00:00 EDT 2013 · AIP Advances

DOI:https://doi.org/10.1063/1.4802969· OSTI ID:22105488

Bo, Ren; Jun, Yu ^[1]; Ji, Lin ^[2]

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1. Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000 (China)
2. Institute of Nonlinear Physics, ZheJiang Normal University, Jinhua, 321004 (China)

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.

• OSTI ID: 22105488
• Journal Information: AIP Advances, Vol. 3, Issue 4; Other Information: (c) 2013 Copyright-Sign 2013 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.; Country of input: International Atomic Energy Agency (IAEA); ISSN 2158-3226
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSON EXPANSION
BOSONS
DEFORMATION
EQUATIONS
EXACT SOLUTIONS
FERMIONS
LIE GROUPS
MAPPING
SUPERSYMMETRY