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Teoreticheskaya i Matematicheskaya Fizika, 2019, Volume 199, Number 2, Pages 272–282
DOI: https://doi.org/10.4213/tmf9610 (Mi tmf9610) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Dressing method for the multicomponent short-pulse equation

H. Wajahat W. A. Riaz, M. Hassan

Department of Physics, University of the Punjab, Lahore, Pakistan
Full-text PDF (4843 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9610
Abstract: We use the Zakharov–Shabat dressing method to solve the multicomponent short-pulse equation. We obtain dressed solutions of this equation using a Riemann–Hilbert problem. The dressed solutions of the Lax pair and the multicomponent short-pulse equation are expressed in terms of Hermitian projectors. We show that the dressed solutions are related to quasideterminant solutions, and we write K-soliton solutions in terms of quasideterminants. In explicit form, we obtain one- and two-soliton solutions.
Keywords: integrable system, soliton, dressing method.
Received: 14.07.2018
Revised: 14.07.2018
English version:
Theoretical and Mathematical Physics, 2019, Volume 199, Issue 2, Pages 709–718
DOI: https://doi.org/10.1134/S0040577919050076
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: H. Wajahat W. A. Riaz, M. Hassan, “Dressing method for the multicomponent short-pulse equation”, TMF, 199:2 (2019), 272–282; Theoret. and Math. Phys., 199:2 (2019), 709–718
Citation in format AMSBIB
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  • https://doi.org/10.4213/tmf9610
  • https://www.mathnet.ru/eng/tmf/v199/i2/p272
    • This publication is cited in the following 3 articles:
    1. H W A Riaz, Aamir Farooq, “Solitonic solutions for the reduced Maxwell-Bloch equations via the Darboux transformation and artificial neural network in nonlinear wave dynamics”, Phys. Scr., 99:12 (2024), 126010  crossref
    2. V. Caudrelier, A. Gkogkou, B. Prinari, “Soliton interactions and Yang–Baxter maps for the complex coupled short-pulse equation”, Stud. Appl. Math., 151:1 (2023), 285  crossref  mathscinet
    3. A. Gkogkou, B. Prinari, F. Feng, D. Trubatch, “Inverse scattering transform for the complex coupled short-pulse equation”, Stud. Appl. Math., 148:2 (2022), 918–963  crossref  mathscinet  isi  scopus
    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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    References:54
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