Author(s)

Shuangte Wang¹, Hengguo Yu^1,3, Chuanjun Dai^2,3, Min Zhao^2,3

¹College of Mathematics and Physics, Wenzhou University, Wenzhou, China.
²School of Life and Environmental Science, Wenzhou University, Wenzhou, China.
³Key Laboratory for Subtropical Oceans & Lakes Environment & Biological Resources Utilization Technology of Zhejiang, Wenzhou University, Wenzhou, China.

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.

Supersymmetry, Superfield Gardner Equation, Bosonizaion, Traveling Wave Solutions

Wang, S. , Yu, H. , Dai, C. and Zhao, M. (2020) Bosonization Approach and Novel Traveling Wave Solutions of the Superfield Gardner Equation. Journal of Applied Mathematics and Physics, 8, 443-455. doi: 10.4236/jamp.2020.83034.