Geodesic
Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 11, pp. 1960-1969

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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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     author = {S. P. Popov},
     title = {Nonautonomous soliton solutions of the modified {Korteweg{\textendash}de} {Vries-sine-Gordon} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1960--1969},
     publisher = {mathdoc},
     volume = {56},
     number = {11},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_11_a8/}
}
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S. P. Popov. Nonautonomous soliton solutions of the modified Korteweg–de Vries-sine-Gordon equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 11, pp. 1960-1969. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_11_a8/