Bilinear approach to Kuperschmidt super-KdV type equations

Hirota bilinear form and soliton solutions for the super-KdV (Korteweg-de Vries) equation of Kuperschmidt (Kuper-KdV) are given. It is shown that even though the collision of supersolitons is more complicated than in the case of the supersymmetric KdV equation of Manin-Radul, the asymptotic effect o...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2018-06, Vol.51 (22), p.225204
Main Authors: Babalic, Corina N, Carstea, A S
Format: Article
Language:English
Subjects:
Grassmann function
Hirota formalism
solitons
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Summary:Hirota bilinear form and soliton solutions for the super-KdV (Korteweg-de Vries) equation of Kuperschmidt (Kuper-KdV) are given. It is shown that even though the collision of supersolitons is more complicated than in the case of the supersymmetric KdV equation 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, transforms to the Kuper-KdV equation in a multiple-scale approach.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aabda5