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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10314 https://www.mathnet.ru/eng/zvmmf/v55/i12/p2049
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Abstract page: | 198 | Full-text PDF : | 30 | References: | 81 | First page: | 8 |
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