ISSN:
1434-6036
Keywords:
PACS. 02.30.Zz Inverse problems – 05.45.Yv Solitons – 02.30.Ik Integrable systems – 02.20.Sv Lie algebras and Lie groups
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract: 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 (x, t) ∈ satisfying r = rank 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1140/epjb/e2002-00294-6
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