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


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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.

About the authors

S. P. Popov

Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”

Author for correspondence.
Email: sppopov@yandex.ru
Russian Federation, Moscow, 119333

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