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


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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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S. Popov

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

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Email: sppopov@yandex.ru
俄罗斯联邦, Moscow, 119333

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