Numerical simulation of soliton in simple two-dimensional lattice
Matematičeskoe modelirovanie, Tome 21 (2009) no. 9, pp. 27-33
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The two-dimensional discrete Korteweg-de Vries equation is considered. Integration by time is provided by Runge–Kutta fourth-order method. The one-soliton solutions are found, their individual properties are determinated. Various interactions between plane normal, oblique and localized solitons are studied.
[1] Bogoyavlenskii O. I., Oprokidyvayuschiesya solitony, Nauka, M., 1991, 320 pp. | MR | Zbl
[2] Bibik Yu. V., Popov S. P., “Chislennoe modelirovanie solitonnykh reshenii prosteishikh diskretnykh nelineinykh uravnenii i ikh kontinualnykh analogov”, Matem. modelirovanie, 16:5 (2004), 66–82 | MR
[3] Mikhailov A. V., “Ob integriruemosti dvumernogo obobscheniya tsepochki Toda”, Pisma v ZhETF, 30:7 (1979), 443–448