Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 4053-4072 |
| Number of pages | 20 |
| Journal | AIMS Mathematics |
| Volume | 6 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 the Author(s), licensee AIMS Press.
Keywords
- CDGSK equation
- Conformable fractional derivative
- Hermite transformatiom
- Painlevé test
- Sub-equations method