Generation and interaction of large-amplitude solitons |
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| Authors: | E. N. Pelinovskii A. V. Slyunyaev |
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| Affiliation: | (1) Division of Nonlinear Waves, Institute of Applied Physics, Russian Academy of Sciences, 603600 Nizhnii Novgorod, Russia;(2) Nizhegorod State University, 603600 Nizhnii Novgorod, Russia |
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| Abstract: | The results of a numerical simulation of the interaction and generation of solitons in nonlinear integrable systems which admit the existence of very-large-amplitude solitons are reported. The nonlinear integrable system chosen for study is the Gardner equation, particular examples of which are the Korteweg-de Vries equation (for quadratic nonlinearity) and a modified Korteweg-de Vries equation (for cubic nonlinearity).It is shown that during the evolution process solitons of opposite polarity appear on the crest of the maximum soliton. Pis’ma Zh. éksp. Teor. Fiz. 67, No. 9, 628–633 (10 May 1998) |
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