Group invariant solutions for the N=2 super Korteweg-de Vries equation

Authors
Ayari, MA Hussin, V Winternitz, P
Citation
Ma. Ayari et al., Group invariant solutions for the N=2 super Korteweg-de Vries equation, J MATH PHYS, 40(4), 1999, pp. 1951-1965
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
40
Issue
4
Year of publication
1999
Pages
1951 - 1965
Database
ISI
SICI code
0022-2488(199904)40:4<1951:GISFTN>2.0.ZU;2-5
Abstract
The method of symmetry reduction is used to solve Grassmann-valued differen tial equations. The (N=2) supersymmetric Korteweg-de Vries equation is cons idered. It admits a Lie superalgebra of symmetries of dimension 5. A two-di mensional subsuperalgebra is chosen to reduce the number of independent var iables in this equation. We are then able to give different types of exact solutions, in particular soliton solutions. (C) 1999 American Institute of Physics. [S0022-2488(99)02903-5].