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Article

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

С. П. ПоповDorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”, Russian Academy of Sciences, Moscow, 119333, Russia
2016en
ABI

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.

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Cited by 60 references