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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 2, Pages 247–251
DOI: https://doi.org/10.1134/S004446691902008X (Mi zvmmf10832) 		 
Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations

A. Kh. Khanmamedovabc, A. M. Guseinovd, M. M. Vekilova

a Baku State University, Baku, AZ1148 Azerbaijan
b Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Baku, AZ1141 Azerbaijan
c Azerbaijan University, Baku, AZ1007 Azerbaijan
d Ganja State University, Ganja, AZ2000 Azerbaijan
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DOI: https://doi.org/10.1134/S004446691902008X
Abstract: The Cauchy problem for an infinite-dimensional system of nonlinear evolution equations, which is a generalization of the Langmuir chain, is considered. The global solvability of the problem in the class of rapidly decreasing functions is established. By the inverse spectral method, an algorithm for constructing the solution is obtained.
Key words: nonlinear evolution equation, Langmuir chain, scattering data, method of inverse spectral problem.
Received: 21.11.2016
Revised: 30.08.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 2, Pages 236–240
DOI: https://doi.org/10.1134/S0965542519020088
Bibliographic databases:
Document Type: Article
UDC: 519.62
Language: Russian
Citation: A. Kh. Khanmamedov, A. M. Guseinov, M. M. Vekilov, “Algorithm for solving the Cauchy problem for one infinite-dimensional system of nonlinear differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:2 (2019), 247–251; Comput. Math. Math. Phys., 59:2 (2019), 236–240
Citation in format AMSBIB
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