Exact Solutions of Supersymmetric KdV-a System via Bosonization Approach

Bosonization approach is applied in solving the most general ;N= 1 supersymmetric Korteweg de-Vries equation with an arbitrary parameter a （sKdV-a） equation. By introducing some fermionic parameters in the expansion of the superfield, the sKdV-a equation is transformed to a new coupled bosoNic syste...

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Bibliographic Details
Published in:理论物理通讯：英文版 2012, Vol.58 (11), p.617-622
Main Author: GAO Xiao-Nan YANG Xu-Dong LOU Sen-Yue
Format: Article
Language:English
Subjects:
KDV系统
参数方程
玻色化
玻色系统
相似性
相似约化
精确解
超对称
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Summary:Bosonization approach is applied in solving the most general ;N= 1 supersymmetric Korteweg de-Vries equation with an arbitrary parameter a （sKdV-a） equation. By introducing some fermionic parameters in the expansion of the superfield, the sKdV-a equation is transformed to a new coupled bosoNic system. The Lie point symmetries of this model are considered and similarity reductions of it are conducted. Several types of similarity reduction solutions of the coupled bosonie equations are simply obtained for all values of a, Some kinds of exact solutions of the sKdV-a equation are discussed which was not considered integrable previously.
ISSN:0253-6102