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. DOI https://doi.org/10.1134/s0040577916090038
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. DOI https://doi.org/10.1134/s0040577916090038
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. DOI https://doi.org/10.1134/s0040577916090038
Abstract
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 |
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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 > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 19 Nov 2016 15:26 |
Last Modified: | 07 Aug 2024 19:49 |
URI: | http://repository.essex.ac.uk/id/eprint/18071 |
Available files
Filename: 1601.01929v2.pdf