Geodesic
Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 2049-2054 
M. G. Makhmudova; A. Kh. Khanmamedov. Asymptotic periodic solution of the Cauchy problem for the Langmuir lattice. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 12, pp. 2049-2054. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_12_a7/
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     author = {M. G. Makhmudova and A. Kh. Khanmamedov},
     title = {Asymptotic periodic solution of the {Cauchy} problem for the {Langmuir} lattice},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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