The Zero curvature formulation of the KP and sKP equations

Barcelos-Neto, J.; Das, Ashok K.; Panda, Sudhakar; Roy, Shibaji

doi:10.1016/0370-2693(92)90653-L

The Zero curvature formulation of the KP and sKP equations

Feb 4, 1992

7 pages

Published in:

Phys.Lett.B 282 (1992) 365-371

Published: 1992

DOI:

10.1016/0370-2693(92)90653-L

Report number:

UR-1247,
ER-40685-696,
IC-92-4

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Abstract: (Elsevier)

The Kadomtsev-Petviashvili equation is derived from the zero curvature condition associated with the gauge group SL (2, R ) in 2 + 1 dimensions. A fermionic extension of the KP equation is also obtained using the zero curvature condition of the supergroup OSp(2∥1), which reduces upon appropriate restriction to the Kupershmidt equation.

Kadomtsev-Petviashvili equation
dimension: 3
group theory: SL(2,R)
gauge field theory
group theory: SO(2/1)