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Teoreticheskaya i Matematicheskaya Fizika, 2017, Volume 193, Number 2, Pages 179–192
DOI: https://doi.org/10.4213/tmf9294 (Mi tmf9294) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type

A. A. Panin, G. I. Shlyapugin

Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (439 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9294
Abstract: We consider one-dimensional equations of the type of the Yajima–Oikawa–Satsuma ion acoustic wave equation and prove the local solvability. Using the test function method, we obtain sufficient conditions for solution blow-up and estimate the blow-up time.
Keywords: blow-up, local solvability, ion acoustic wave.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-03524
The research of A. A. Panin was supported by the Russian Foundation for Basic Research (Grant No. 15-01-03524).
Received: 07.11.2016
English version:
Theoretical and Mathematical Physics, 2017, Volume 193, Issue 2, Pages 1561–1573
DOI: https://doi.org/10.1134/S0040577917110010
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Panin, G. I. Shlyapugin, “Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type”, TMF, 193:2 (2017), 179–192; Theoret. and Math. Phys., 193:2 (2017), 1561–1573
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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