Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos



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Ibort, A. and Martínez Alonso, Luis and Medina Reus, Elena (1996) Explicit solutions of supersymmetric KP hierarchies: Supersolitons and solitinos. Journal of mathematical physics, 37 (12). pp. 6159-6172. ISSN 0022-2488

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Official URL: http://dx.doi.org/10.1063/1.531770


Wide classes of explicit solutions of the Manin-Radul and Jacobian supersymmetric KP hierarchies are constructed by using line bundles over complex supercurves based on the Riemann sphere. Their construction extends several ideas of the standard KP theory, such as wave functions,δ̅ equations and τ-functions. Thus, supersymmetric generalizations of N-soliton solutions, including a new purely odd ‘‘solitino’’ solution, as well as rational solutions, are found and characterized.

Item Type:Article
Additional Information:

©2001. All Rights Reserved.
The authors would like to thank the financial support of CICYT under project PB92-0197

Uncontrolled Keywords:Super-virasoro constraints; Superconformal algebra; Equations
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:34488
Deposited On:25 Nov 2015 17:30
Last Modified:10 Dec 2018 15:10

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