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Tian, K. (2010) Symmetry Approach to N=1 Supersymmetric Systems. China-Japan Joint Workshop on Integrable Systems on the Occasion of Prof. Ryogo Hirota’s 77th Birthday, Shaoxing, 7-10 January 2010.

has been cited by the following article:

• TITLE: Bosonization Approach and Novel Traveling Wave Solutions of the Superfield Gardner Equation

  AUTHORS: Shuangte Wang, Hengguo Yu, Chuanjun Dai, Min Zhao

  KEYWORDS: Supersymmetry, Superfield Gardner Equation, Bosonizaion, Traveling Wave Solutions

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.8 No.3, March 9, 2020

  ABSTRACT: In this paper, the bosonization of the superfield Gardner equation in the case of multifermionic parameters is presented and novel traveling wave solutions are extracted from the coupled bosonic equations by using the mapping and deformation relations. In the case of two-fermionic-parameter bosonization procedure, we provide a special solution in the form of Jacobian elliptic functions. Meanwhile, we discuss and formally derive traveling wave solutions of N fermionic parameters bosonization procedure. This technique can also be applied to treat the N = 1 supersymmetry KdV and mKdV systems which are obtained in two limiting cases.