This article is cited in 10 papers

Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation

S. P. Popov

Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control", Russian Academy of Sciences, Moscow, Russia

Abstract: Multisoliton solutions of the modified Korteweg–de Vries-sine-Gordon (mKdV-SG) equation with time-dependent coefficients are considered. Cases describing changes in the shape of soliton solutions (kinks and breathers) observed in gradual transitions between the mKdV, SG, and mKdV-SG equations are numerically studied.

Key words: mKdV equation, SG equation, mKdV-SG equation, nonautonomous mKdV-SG equation, kink, antikink, breather, soliton, multisoliton interaction.

UDC: 519.634

Received: 18.11.2015
Revised: 28.02.2016

DOI: 10.7868/S0044466916110120

 English version: Computational Mathematics and Mathematical Physics, 2016, 56:11, 1929–1937

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