Geodesic
Exact solitons of an $N$-component discrete coupled integrable system
Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 1, pp. 43-80 Cet article a éte moissonné depuis la source Math-Net.Ru

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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
Mots-clés : solitons, Darboux transformation. 
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A. Inam; M. ul Hassan. Exact solitons of an $N$-component discrete coupled integrable system. Teoretičeskaâ i matematičeskaâ fizika, Tome 214 (2023) no. 1, pp. 43-80. http://geodesic.mathdoc.fr/item/TMF_2023_214_1_a2/

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