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arXiv · 1712.06854

Bilinear approach to Kuperschmidt super-KdV type equations

Corina N. Babalic·A. S. Carstea
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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.

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Corina N. Babalic, A. S. Carstea. 2017-12-19. Bilinear approach to Kuperschmidt super-KdV type equations. https://doi.org/10.1088/1751-8121%2Faabda5

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