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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 3, Pages 508–522
DOI: https://doi.org/10.4213/tmf10633
(Mi tmf10633)
 

Multibreather-like solutions of the real and complex reverse space-time nonlocal defocusing short-pulse equations

Hui Mao

Center for Applied Mathematics of Guangxi, Nanning Normal University, Nanning, Guangxi, China
References:
Abstract: Multibreather-like solutions in determinant form for the real and complex reverse space–time nonlocal defocusing short-pulse equations are constructed via Darboux transformations and nonlocal reductions. It is shown that the multibreather-like solutions of these two equations can be obtained only by reducing the even multisoliton solutions of the two-component short-pulse equation. As examples, $1,2$-breather-like solutions and their dynamics are illustrated graphically.
Keywords: two-component short-pulse equation, reverse space–time nonlocal defocusing short-pulse equations, reciprocal transformation, Darboux transformation, multibreather-like solutions.
Funding agency Grant number
National Natural Science Foundation of China 12261061
Natural Science Foundation of Guangxi Zhuang autonomous region, China 2022GXNSFAA035598
This work is supported by the National Natural Science Foundation of China (grant No. 12261061) and the Natural Science Foundation of Guangxi Zhuang autonomous region, China (grant No. 2022GXNSFAA035598).
Received: 07.11.2023
Revised: 05.01.2024
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 3, Pages 973–985
DOI: https://doi.org/10.1134/S0040577924060060
Bibliographic databases:
Document Type: Article
MSC: 37K10;35Q51
Language: Russian
Citation: Hui Mao, “Multibreather-like solutions of the real and complex reverse space-time nonlocal defocusing short-pulse equations”, TMF, 219:3 (2024), 508–522; Theoret. and Math. Phys., 219:3 (2024), 973–985
Citation in format AMSBIB
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\paper Multibreather-like solutions of the~real and complex reverse space-time nonlocal defocusing short-pulse equations
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\pages 508--522
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\transl
\jour Theoret. and Math. Phys.
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\vol 219
\issue 3
\pages 973--985
\crossref{https://doi.org/10.1134/S0040577924060060}
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  • https://doi.org/10.4213/tmf10633
  • https://www.mathnet.ru/eng/tmf/v219/i3/p508
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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