H. Wajahat A. Riaz, M. Hassan, “Darboux transformation for a semidiscrete short-pulse equation”, TMF, 194:3 (2018), 418–435; Theoret. and Math. Phys., 194:3 (2018), 360

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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 194, Number 3, Pages 418–435
DOI: https://doi.org/10.4213/tmf9352 (Mi tmf9352)

This article is cited in 8 scientific papers (total in 8 papers)

Darboux transformation for a semidiscrete short-pulse equation

H. Wajahat A. Riaz, M. Hassan

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

Full-text PDF (795 kB) Citations (8)

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DOI: https://doi.org/10.4213/tmf9352

Abstract: 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, soliton, Darboux transformation, quasideterminant.

Received: 16.02.2017
Revised: 28.03.2017

English version:
Theoretical and Mathematical Physics, 2018, Volume 194, Issue 3, Pages 360–376
DOI: https://doi.org/10.1134/S0040577918030042

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: H. Wajahat A. Riaz, M. Hassan, “Darboux transformation for a semidiscrete short-pulse equation”, TMF, 194:3 (2018), 418–435; Theoret. and Math. Phys., 194:3 (2018), 360–376

Citation in format AMSBIB

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https://doi.org/10.4213/tmf9352

https://www.mathnet.ru/eng/tmf/v194/i3/p418

This publication is cited in the following 8 articles:

A. Mirza, M. ul Hassan, “Superfield Bäcklund and Darboux transformations of an $\mathcal N=1$ supersymmetric coupled dispersionless integrable system”, Theoret. and Math. Phys., 219:1 (2024), 629–637
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, “Exact solitons of an $N$-component discrete coupled integrable system”, Theoret. and Math. Phys., 214:1 (2023), 36–71
Ya. Li, J. Li, R. Wang, “N-soliton solutions for the Maxwell-Bloch equations via the Riemann-Hilbert approach”, Mod. Phys. Lett. B, 35:21 (2021), 2150356
Zhaqilao, “A pair of modified short pulse equations and its two-component system in nonlinear media”, Wave Motion, 96 (2020), 102553
H. Riaz, A. Wajahat, M. Hassan, “Quasi-grammian solutions of a multi-component short pulse equation”, J. Geom. Phys., 155 (2020), 103766
H. Wajahat W. A. Riaz, M. Hassan, “Dressing method for the multicomponent short-pulse equation”, Theoret. and Math. Phys., 199:2 (2019), 709–718
M. S. Osman, “One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada-Kotera equation”, Nonlinear Dyn., 96:2 (2019), 1491–1496

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

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References:	61
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