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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 12, Pages 2049–2054
DOI: https://doi.org/10.7868/S004446691512008X (Mi zvmmf10314) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice

M. G. Makhmudovaa, A. Kh. Khanmamedovba

a Baku State University, ul. Z. Khalilova 23, Baku, AZ1148, Azerbaijan
b Institute of Mathematics and Mechanics of National Academy of Sciences of Azerbaijan, ul. B. Vahabzade 9, Baku, AZ1141, Azerbaijan
Full-text PDF (322 kB) Citations (2)
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DOI: https://doi.org/10.7868/S004446691512008X
Abstract: The Cauchy problem for the Langmuir lattice with the initial condition in the form of the sum of a periodic and a rapidly decreasing sequences is studied by the method of inverse scattering problem. A method for constructing a periodic solution of the Langmuir lattice from a known periodic solution is proposed. The existence of an asymptotically periodic solution is proven.
Key words: Langmuir lattice, Cauchy problem, asymptotic periodic solution, theory of existence of solution.
Received: 18.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 12, Pages 2008–2013
DOI: https://doi.org/10.1134/S0965542515120088
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: M. G. Makhmudova, A. Kh. Khanmamedov, “Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2049–2054; Comput. Math. Math. Phys., 55:12 (2015), 2008–2013
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v55/i12/p2049
    • This publication is cited in the following 2 articles:
    1. Yuan Shen, Bo Tian, Tian-Yu Zhou, Xiao-Tian Gao, “Nonlinear differential-difference hierarchy relevant to the Ablowitz-Ladik equation: Lax pair, conservation laws, N-fold Darboux transformation and explicit exact solutions”, Chaos, Solitons & Fractals, 164 (2022), 112460  crossref
    2. A. Kh. Khanmamedov, A. M. Guseinov, M. M. Vekilov, “Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations”, Comput. Math. Math. Phys., 59:2 (2019), 236–240  mathnet  crossref  crossref  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :42
    References:89
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