An algorithm for solving the Cauchy problem for a finite Langmuir lattice
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1589-1593 Cet article a éte moissonné depuis la source Math-Net.Ru

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For the Cauchy problem for a Langmuir lattice with fixed ends, an algorithm based on the inverse scattering method is designed and substantiated.
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I. M. Guseinov; Ag. Kh. Khanmamedov. An algorithm for solving the Cauchy problem for a finite Langmuir lattice. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 9, pp. 1589-1593. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_9_a5/

[1] Manakov C. B., “O polnoi integriruemosti i stokhastizatsii v diskretnykh dinamicheskikh sistemakh”, Zh. eksperim. i teor. fiz., 67:2 (1974), 543–555 | MR

[2] Berezanskii Yu. M., “Integrirovanie nelineinykh raznostnykh uravnenii metodom obratnoi spektralnoi zadachi”, Dokl. AN SSSR, 281:1 (1985), 16–19 | MR

[3] Berezanskii Yu. M., Gekhtman M. I., Shmoish M. E., “Integrirovanie metodom obratnoi spektralnoi zadachi nekotorykh tsepochek nelineinykh raznostnykh uravnenii”, Ukr. matem. zhurnal, 38:1 (1986), 84–89 | MR

[4] Teschl G., Jacobi operators and completely integrable nonlinear lattices, Math. Surv. and Monographs, 72, Amer. Math. Soc., Providence, RI, 2000 | MR | Zbl

[5] Khanmamedov Ag. Kh., “Metod integrirovaniya zadachi Koshi dlya lengmyurovskoi tsepochki s raskhodyaschimsya nachalnym usloviem”, Zh. vychisl. matem. i matem. fiz., 45:9 (2005), 1639–1650 | MR | Zbl

[6] Vereschagin B. L., “Integriruemaya kraevaya zadacha dlya tsepochki Volterra na poluosi”, Matem. zametki, 80:5 (2006), 696–700 | MR

[7] Khanmamedov Ag. Kh., “Nachalno-kraevaya zadacha dlya tsepochki Volterra na poluosi s nulevym kraevym usloviem”, Dokl. RAN, 423:2 (2008), 170–172 | MR

[8] Huseynov I. M., “Finite dimensional inverse problem”, Trans. Acad. Sci. of Azerb. Ser. Phys.-Techn. and Math., 21:1 (2001), 80–87 | MR | Zbl

[9] Toda M., Teoriya nelineinykh reshetok, Mir, M., 1984 | MR