Exact traveling wave solutions of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera equation

Autor: Jin Hyuk Choi, Hyunsoo Kim
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: AIMS Mathematics, Vol 6, Iss 4, Pp 4053-4072 (2021)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2021240?viewType=HTML
Popis: In this work, we test the intgrability of the stochastic Wick-type fractional Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation on the Painlevé test and construct new Wick-type and nob-Wick-type versions of exact traveling wave solutions of the stochastic Wick-type fractional CDGSK equation by employing the Hermit transformation, the conformable fractional derivative and the sub-equations method. Moreover, we obtain exact traveling wave solutions of the fractional Sawada-Kotera (SK) equation and the fractional Caudrey-Dodd-Gibbon (CDG) equation as well. It is note that physical illustration may be useful to predict internal structure of the considered equations. The results confirm that sub-equations method is very effective and efficient to find exact traveling wave solutions of Wick-type fractional nonlinear evolution equations.
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