Email this article Local solvability and solution blow-up of one-dimensional equations of the Yajima–Oikawa–Satsuma type
- Authors: Panin A.A.1, Shlyapugin G.I.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 193, No 2 (2017)
- Pages: 1561-1573
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171480
- DOI: https://doi.org/10.1134/S0040577917110010
- ID: 171480
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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.
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About the authors
A. A. Panin
Lomonosov Moscow State University
Author for correspondence.
Email: a-panin@yandex.ru
Russian Federation, Moscow
G. I. Shlyapugin
Lomonosov Moscow State University
Email: a-panin@yandex.ru
Russian Federation, Moscow
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