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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 $N$-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)
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DOI: https://doi.org/10.4213/tmf10324
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
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 $N$-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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\pages 43--80
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\jour Theoret. and Math. Phys.
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  • 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:
    1. 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  mathnet  crossref  crossref  adsnasa
    2. 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  mathnet  crossref  crossref  mathscinet  adsnasa
    3. 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  mathnet  crossref  crossref  mathscinet  adsnasa
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:169
    Full-text PDF :25
    Russian version HTML:117
    References:29
    First page:4
     
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