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Article overview
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On N-wave type systems and their gauge equivalent | Vladimir S. Gerdjikov
; Georgi G. Grahovski
; Nikolay A. Kostov
; | Date: |
12 Nov 2001 | Journal: | Eur. Phys. J. B 29 (2002), 243-248 | Subject: | Exactly Solvable and Integrable Systems | nlin.SI | Affiliation: | Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria), Georgi G. Grahovski (Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria), Nikolay A. Kostov (Institute of Electrinics, Sofia, Bulgaria | Abstract: | The class of nonlinear evolution equations - gauge equivalent to the N-wave equations related to the simple Lie algebra g are derived and analyzed. They are written in terms of the functions S(x,t) satisfying r= rank g 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. | Source: | arXiv, nlin.SI/0111027 | Services: | Forum | Review | PDF | Favorites |
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