Geodesic
Darboux transformation for a semidiscrete short-pulse equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 3, pp. 418-435 Cet article a éte moissonné depuis la source Math-Net.Ru

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We define a Darboux transformation in terms of a quasideterminant Darboux matrix on the solutions of a semidiscrete short-pulse equation. We also give a quasideterminant formula for $N$-loop soliton solutions and obtain a general expression for the multiloop solution expressed in terms of quasideterminants. Using quasideterminants properties, we find explicit solutions and as an example compute one- and two-loop soliton solutions in explicit form.
Keywords: discrete integrable system, quasideterminant.
Mots-clés : soliton, Darboux transformation 
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H. Wajahat A. Riaz; M. Hassan. Darboux transformation for a semidiscrete short-pulse equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 3, pp. 418-435. http://geodesic.mathdoc.fr/item/TMF_2018_194_3_a3/

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