This article is cited in 2 papers

Numerical simulation of soliton in simple two-dimensional lattice

S. P. Popov

Dorodnitsyn Computing Centre of RAS, Moscow

Abstract: 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.

UDC: 519.6.536.78

Received: 29.01.2008

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