Rapidly oscillating solutions of a generalized Korteweg–de Vries equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 11, pp. 1812-1823

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For a generalized Korteweg–de Vries equation, the existence of families of rapidly oscillating periodic solutions is proved and their asymptotic representation is found. The asymptotics of tori of different dimensions are examined. Formulas for solutions depending on all parameters of the problem are derived.
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     author = {S. A. Kashchenko},
     title = {Rapidly oscillating solutions of a generalized {Korteweg{\textendash}de} {Vries} equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1812--1823},
     publisher = {mathdoc},
     volume = {57},
     number = {11},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a5/}
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S. A. Kashchenko. Rapidly oscillating solutions of a generalized Korteweg–de Vries equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 11, pp. 1812-1823. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_11_a5/