New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods

Details New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods New solution of the $\mathcal{N}=2$ Supersymmetric KdV equation via Hirota methods

2012-02-09

arxiv.org/abs/1202.2010v1

L Delisle and V Hussin 2012 J. Phys.: Conf. Ser. 343 012030

Physics

Mathematical Physics

7 pages, 9 figures. arXiv admin note: significant text overlap with arXiv:1104.0590

Scientific paper

We consider the resolution of the $\mathcal{N}=2$ supersymmetric KdV equation
with $a=-2$ ($SKdV_{a=-2}$) from the Hirota formalism. For the first time, a
bilinear form of the $SKdV_{a=-2}$ equation is constructed. We construct
multisoliton solutions and rational similarity solutions.

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