Geodesic
Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 624-633

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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. 
@article{ZVMMF_2013_53_4_a8,
     author = {S. P. Popov},
     title = {Effect of cubic nonlinearity on soliton solutions of the {Benjamin{\textendash}Bona{\textendash}Mahony} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {624--633},
     publisher = {mathdoc},
     volume = {53},
     number = {4},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a8/}
}
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S. P. Popov. Effect of cubic nonlinearity on soliton solutions of the Benjamin–Bona–Mahony equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 4, pp. 624-633. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_4_a8/