English

Nonlinear superposition formula for N=1 supersymmetric KdV Equation

Exactly Solvable and Integrable Systems 2009-11-07 v2

Abstract

In this paper, we derive a B\"{a}cklund transformation for the supersymmetric Kortweg-de Vries equation. We also construct a nonlinear superposition formula, which allows us to rebuild systematically for the supersymmetric KdV equation the soliton solutions of Carstea, Ramani and Grammaticos.

Keywords

Cite

@article{arxiv.nlin/0212002,
  title  = {Nonlinear superposition formula for N=1 supersymmetric KdV Equation},
  author = {Q. P. Liu and Y. F. Xie},
  journal= {arXiv preprint arXiv:nlin/0212002},
  year   = {2009}
}

Comments

6 pages, LaTeX, everthing is reformed into super fields

R2 v1 2026-07-22T18:10:20.204Z