Bilinear approach to Kuperschmidt super-KdV type equations
Exactly Solvable and Integrable Systems
2018-05-23 v1
Abstract
Hirota bilinear form and soliton solutions for super-KdV of Kuperschmidt (Kuper-KdV) are given. It is shown that even though the collision of supersolitons is more complicated than in the case of supersymmetric KdV of Manin-Radul, the asymptotic effect of the interaction is simpler. As a physical application it is shown that the well known FPU problem having a phonon-mediated interaction of some internal degrees of freedom expressed through grassmann fields, goes to the Kuper-KdV equation in a multiple-scale approach.
Cite
@article{arxiv.1712.06854,
title = {Bilinear approach to Kuperschmidt super-KdV type equations},
author = {Corina N. Babalic and A. S. Carstea},
journal= {arXiv preprint arXiv:1712.06854},
year = {2018}
}
Comments
12 pages