The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation

The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation

In this article, we consider the nonlinear stochastic Wick-type fractional Gardner equation and the generalized fractional Gardner equation with coefficient variables. We obtain new Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation and new explicit soluti...

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Autores principales: Jin Hyuk Choi, Hyunsoo Kim
Formato: article
Lenguaje:EN
Publicado: Elsevier 2021
Materias:
Gardner equation
Wick product
Hermite transform
Caputo fractional derivative
White noise functional
Physics
QC1-999
Acceso en línea:https://doaj.org/article/8c6dedb97a224a559c5985d510c71068
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spelling oai:doaj.org-article:8c6dedb97a224a559c5985d510c710682021-11-06T04:27:10ZThe Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation2211-379710.1016/j.rinp.2021.104886https://doaj.org/article/8c6dedb97a224a559c5985d510c710682021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721009244https://doaj.org/toc/2211-3797In this article, we consider the nonlinear stochastic Wick-type fractional Gardner equation and the generalized fractional Gardner equation with coefficient variables. We obtain new Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation and new explicit solutions of the generalized fractional Gardner equation with coefficients variables by employing the improved system method. Additionally, dynamical behaviors of the obtained solutions are provided graphically under suitable functions of white noises and physical parameters. We show that the improved system method is powerful and effective to find explicit solutions of the considered equations. It is also recommended to use the improved system method to solve the fractional nonlinear partial differential equations as well as nonlinear partial differential equations.Jin Hyuk ChoiHyunsoo KimElsevierarticleGardner equationWick productHermite transformCaputo fractional derivativeWhite noise functionalPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 104886- (2021)
institution DOAJ
collection DOAJ
language EN
topic Gardner equation
Wick product
Hermite transform
Caputo fractional derivative
White noise functional
Physics
QC1-999
spellingShingle Gardner equation
Wick product
Hermite transform
Caputo fractional derivative
White noise functional
Physics
QC1-999
Jin Hyuk Choi
Hyunsoo Kim
The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
description In this article, we consider the nonlinear stochastic Wick-type fractional Gardner equation and the generalized fractional Gardner equation with coefficient variables. We obtain new Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation and new explicit solutions of the generalized fractional Gardner equation with coefficients variables by employing the improved system method. Additionally, dynamical behaviors of the obtained solutions are provided graphically under suitable functions of white noises and physical parameters. We show that the improved system method is powerful and effective to find explicit solutions of the considered equations. It is also recommended to use the improved system method to solve the fractional nonlinear partial differential equations as well as nonlinear partial differential equations.
format article
author Jin Hyuk Choi
Hyunsoo Kim
author_facet Jin Hyuk Choi
Hyunsoo Kim
author_sort Jin Hyuk Choi
title The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
title_short The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
title_full The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
title_fullStr The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
title_full_unstemmed The Wick-type explicit solutions of the nonlinear stochastic Wick-type fractional Gardner equation
title_sort wick-type explicit solutions of the nonlinear stochastic wick-type fractional gardner equation
publisher Elsevier
publishDate 2021
url https://doaj.org/article/8c6dedb97a224a559c5985d510c71068
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AT jinhyukchoi wicktypeexplicitsolutionsofthenonlinearstochasticwicktypefractionalgardnerequation
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