https://doi.org/10.1140/epjb/e2002-00294-6
On N-wave type systems and their gauge equivalent
1
Institute for Nuclear Research and Nuclear Energy,
72 Tzarigradsko chaussee, 1784 Sofia, Bulgaria
2
Institute of Electronics,
72 Tzarigradsko chaussee, 1784 Sofia, Bulgaria
Corresponding author: a gerjikov@inrne.bas.bg
Received:
20
October
2001
Revised:
30
April
2002
Published online:
2
October
2002
The class of nonlinear evolution equations (NLEE) – gauge
equivalent to the N-wave equations related to the simple Lie algebra
are derived and analyzed. They are written in terms of 
satisfying 
nonlinear constraints. The
corresponding Lax pairs and the time evolution of the scattering data are
found. The Zakharov–Shabat dressing method is appropriately modified to
construct their soliton solutions.
PACS: 02.30.Zz – Inverse problems / 05.45.Yv – Solitons / 02.30.Ik – Integrable systems / 02.20.Sv – Lie algebras and Lie groups
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
