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This article is cited in 2 scientific papers (total in 2 papers)
Exact solitons of an $N$-component discrete coupled integrable system
A. Inam, M. ul Hassan Department of Physics, University of the Punjab, Lahore, Pakistan
Abstract:
An $N$-component discrete coupled (dC) system is presented. The Lax pair of the system is written in terms of $2\times 2$ matrices and generalized to $2^N\times 2^N$ matrices, giving rise to an $N$-component discrete coupled system. A Darboux matrix is introduced to construct solutions of the Lax pair equations giving rise to solutions of the dC system. Soliton solutions of the dC system are computed and their interactions are studied.
Keywords:
discrete integrable systems, solitons, Darboux transformation.
Received: 14.06.2022 Revised: 09.08.2022
Citation:
A. Inam, M. ul Hassan, “Exact solitons of an $N$-component discrete coupled integrable system”, TMF, 214:1 (2023), 43–80; Theoret. and Math. Phys., 214:1 (2023), 36–71
Linking options:
https://www.mathnet.ru/eng/tmf10324https://doi.org/10.4213/tmf10324 https://www.mathnet.ru/eng/tmf/v214/i1/p43
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Abstract page: | 141 | Full-text PDF : | 19 | Russian version HTML: | 97 | References: | 21 | First page: | 4 |
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