Numerical implementation of two-soliton solutions to the Kadomtsev–Petviashvili equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 10, pp. 1508-1516 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. P. Popov. Numerical implementation of two-soliton solutions to the Kadomtsev–Petviashvili equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 10, pp. 1508-1516. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_10_a6/

[1] Zeitunyan R. Kh., “Nelineinye dlinnye volny na poverkhnosti vody i solitony”, Uspekhi fiz. nauk, 165:12 (1995), 1403–1456

[2] Novikov S. P., Teoriya solitonov, Nauka, M., 1980 | MR

[3] Zakharov V. E., Kuznetsov E. A., “O trekhmernykh solitonakh”, Zh. eksperim. i teor. fiz., 66:2 (1974), 594–596

[4] Leadke E. W., Spatschek K. H., “Nonlinear ion-acoustic waves in weak magnetic fields”, Phys. Fluids, 25:6 (1982), 985–989 | DOI | MR

[5] Shrira V. I., “O “pripoverkhnostnykh” volnakh verkhnego kvaziodnorodnogo sloya okeana”, Dokl. AN SSSR, 308:3 (1989), 732–736

[6] Popov S. P., “Chislennoe issledovanie nekotorykh periodicheskikh reshenii uravneniya Kadomtseva–Petviashvili”, Zh. vychisl. matem. i matem. fiz., 39:10 (1998), 1710–1716

[7] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971 | MR | Zbl

[8] Popov S. P., Ustoichivost i parnoe vzaimodeistvie solitonov uravneniya Kadomtseva–Petviashvili, VTs RAN, M., 1996

[9] Popov S. P., “Osobennosti chislennogo modelirovaniya dvukhsolitonnykh reshenii uravneniya Zakharova–Kuznetsova”, Zh. vychisl. matem. i matem. fiz., 39:10 (1999), 1749–1757 | MR

[10] Kadomtsev B. B., Petviashvili V. I., “Ob ustoichivosti uedinennykh voln v slabo dispergiruyuschikh sredakh”, Dokl. AN SSSR, 192:4 (1970), 753–756 | Zbl

[11] Popov S. P., Chislennoe reshenie uravneniya Kadomtseva–Petviashvili s istochnikovymi chlenami, VTs RAN, M., 1995

[12] Popov S. P., “Primery chislennykh reshenii ustoichivogo uravneniya Kadomtseva–Petviashvili s istochnikami”, Zh. vychisl. matem. i matem. fiz., 36:4 (1996), 62–70 | MR | Zbl

[13] Popov S. P., “Dvumernye solitony i ikh vzaimodeistvie”, Izv. RAN. Mekhan. zhidkosti i gaza, 1999, no. 2, 101–109 | MR | Zbl