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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 205, Number 1, Pages 68–83
DOI: https://doi.org/10.4213/tmf9876 (Mi tmf9876) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem

Linlin Wanga, Caiqin Songb, Junyi Zhuc

a College of Science, Henan University of Engineering, Zhengzhou, China
b College of Science, University of Shanghai for Science and Technology, Shanghai, China
c School of Mathematics and Statistics, Zhengzhou University, Zhengzhou, China
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DOI: https://doi.org/10.4213/tmf9876
Abstract: Using the Riemann–Hilbert approach, we investigate the two-component generalized Ragnisco–Tu equation. The modified equation is integrable in the sense that a Lax pair exists, but its explicit solutions have some distinctive properties. We show that the explicit one-wave solution is unstable and the two-wave solution preserves only the phase shift but not the wave shape after collision.
Keywords: Ragnisco–Tu equation, Riemann–Hilbert approach, unstable solution.
Funding agency Grant number
National Natural Science Foundation of China 11471295
11871440
11931017
This research was supported by the National Natural Science Foundation of China (Project Nos. 11471295, 11871440, and 11931017).
Received: 23.12.2019
Revised: 01.04.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 205, Issue 1, Pages 1303–1317
DOI: https://doi.org/10.1134/S0040577920100050
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Linlin Wang, Caiqin Song, Junyi Zhu, “Two-component generalized Ragnisco–Tu equation and the Riemann–Hilbert problem”, TMF, 205:1 (2020), 68–83; Theoret. and Math. Phys., 205:1 (2020), 1303–1317
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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