This article is cited in 2 papers

Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation

S. P. Popov

Dorodnitsyn Computing Centre of the Russian Academy of Sciences, Moscow

Abstract: Soliton solutions of the Benjamin–Bona–Mahony equation with quadratic and cubic nonlinear terms are numerically simulated. Solitons with limiting amplitudes are found, and their interactions with solitons of other types are examined. Estimates for inelastic effects are presented.

Key words: Korteweg-de Vries equation, Gardner’s equation, Benjamin–Bona–Mahony equation (BBM) equation, RLW equation, EW equation, limiting solitons, kinks.

UDC: 519.634

Received: 10.04.2012

DOI: 10.7868/S004446691304011X

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:4, 477–485

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