Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
28 (1987), S. 1809-1812
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
The Painlevé criterion has been applied to the supersymmetric nonlinear Schrödinger equation. This particular system of fermionic and bosonic fields shows up a rich spectrum of resonances and it can be explicitly proved that the expansion coefficients at the resonance positions can remain arbitrary. At this point is is worth noting that even when the extra nonlinear field (which is fermionic in this case) is considered to be bosonic, the resulting system turns out to satisfy the Painlevé test so that this second system may be thought of as a new completely integrable system whose Lax pair is still to be found.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.527440
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