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The N-wave equations with PT symmetry

Gerdjikov, VS and Grahovski, GG and Ivanov, RI (2016) 'The N-wave equations with PT symmetry.' Theoretical and Mathematical Physics, 188 (3). pp. 1305-1321. ISSN 0040-5779

1601.01929v2.pdf - Accepted Version

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We study extensions of N-wave systems with PT symmetry and describe the types of (nonlocal) reductions leading to integrable equations invariant under the P (spatial reflection) and T (time reversal) symmetries. We derive the corresponding constraints on the fundamental analytic solutions and the scattering data. Based on examples of three-wave and four-wave systems (related to the respective algebras sl(3,C) and so(5,C)), we discuss the properties of different types of one- and two-soliton solutions. We show that the PT-symmetric three-wave equations can have regular multisoliton solutions for some specific choices of their parameters.

Item Type: Article
Additional Information: 20 pages, LaTeX
Uncontrolled Keywords: integrable system; PT symmetry; inverse scattering transform; soliton solution
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science and Health
Faculty of Science and Health > Mathematical Sciences, Department of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 19 Nov 2016 15:26
Last Modified: 06 Jan 2022 14:41

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