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On the N-wave Equations with PT-symmetry | | Vladimir S. Gerdjikov
; Georgi G. Grahovski
; Rossen I. Ivanov
; | | Date: |
8 Jan 2016 | | Abstract: | We study extensions of N-wave systems with PT-symmetry. The types of
(nonlocal) reductions leading to integrable equations invariant with respect to
P- (spatial reflection) and T- (time reversal) symmetries is described. The
corresponding constraints on the fundamental analytic solutions and the
scattering data are derived. Based on examples of 3-wave (related to the
algebra sl(3,C)) and 4-wave (related to the algebra so(5,C)) systems, the
properties of different types of 1- and 2-soliton solutions are discussed. It
is shown that the PT symmetric 3-wave equations may have regular multi-soliton
solutions for some specific choices of their parameters. | | Source: | arXiv, 1601.1929 | | Services: | Forum | Review | PDF | Favorites | |
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