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

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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 1, Pages 43–80
DOI: https://doi.org/10.4213/tmf10324 (Mi tmf10324)

This article is cited in 3 scientific papers (total in 3 papers)

Exact solitons of an

N

$N$ -component discrete coupled integrable system

A. Inam, M. ul Hassan

Department of Physics, University of the Punjab, Lahore, Pakistan

Full-text PDF (3907 kB) Citations (3)

References:

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DOI: https://doi.org/10.4213/tmf10324

Abstract: An

N

$N$ -component discrete coupled (dC) system is presented. The Lax pair of the system is written in terms of

2 \times 2

$2\times 2$ matrices and generalized to

2^{N} \times 2^{N}

$2^N\times 2^N$ matrices, giving rise to an

N

$N$ -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

English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 1, Pages 36–71
DOI: https://doi.org/10.1134/S0040577923010038

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. Inam, M. ul Hassan, “Exact solitons of an

N

$N$ -component discrete coupled integrable system”, TMF, 214:1 (2023), 43–80; Theoret. and Math. Phys., 214:1 (2023), 36–71

Citation in format AMSBIB

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\by A.~Inam, M.~ul Hassan

\paper Exact solitons of an~$N$-component discrete coupled integrable system

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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...214...36I}

\transl

\jour Theoret. and Math. Phys.

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\crossref{https://doi.org/10.1134/S0040577923010038}

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Linking options:

https://www.mathnet.ru/eng/tmf10324

https://doi.org/10.4213/tmf10324

https://www.mathnet.ru/eng/tmf/v214/i1/p43

This publication is cited in the following 3 articles:

A. Inam, M. ul Hassan, “Loop, cuspon, and soliton solutions of a multicomponent discrete complex short-pulse equation”, Theoret. and Math. Phys., 222:2 (2025), 228–251
A. Inam, M. ul Hassan, “Quasi-Grammian loop dynamics of a multicomponent semidiscrete short pulse equation”, Theoret. and Math. Phys., 220:3 (2024), 1530–1555
A. Inam, M. ul Hassan, “Quasi-Grammian soliton and kink dynamics of an $M$ -component semidiscrete coupled integrable system”, Theoret. and Math. Phys., 221:1 (2024), 1650–1674

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Statistics & downloads:
Abstract page:	168
Full-text PDF :	24
Russian version HTML:	116
References:	27
First page:	4

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