Z. Naturforsch. 68a, 539 – 546 (2013)
Solving Supersymmetric Hirota-Satsuma Equation by a Direct Bosonization Approach
Xi-Zhong Liu and Jun Yu
Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China
Received January 29, 2013 / revised March 23, 2013 / published online June 12, 2013
Reprint requests to: X. L.; E-mail: liuxizhong123@163.com
The 𝒩= 1 supersymmetric Hirota–Satsuma equation is transformed into systems of coupled bosonic equations by expanding fermionic superfield in terms of 2, 3, and n (n ≥ 4) Grassmann parameters, respectively. Taking advantage of the resulting coupled bosonic systems being linear in the undetermined variables, the supersymmetric Hirota–Satsuma equation is solved out by using the mapping and deformation method. Besides, the richness of the localized excitations of the supersymmetric integrable system is discovered.
Key words: Supersymmetric Hirota–Satsuma Equation; Bosonization Approach; Mapping and Deformation Method; Exact Solution.
PACS numbers: 02.30.Jr; 11.30.Pb; 02.20.Sv; 05.45.Yv
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