Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator

It is well known that there is a deep connection between the symmetric and traveling wave solutions. It has been shown that all symmetric waves are traveling waves. In this paper, we establish new analytic solution collections of nonlinear conformable time-fractional water wave dynamical equation in...

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Main Authors: Ibrahim, Rabha W., Meshram, Chandrashekhar, Hadid, Samir B., Momani, Shaher
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Published: Elsevier 2020
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Online Access:http://eprints.um.edu.my/36645/
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spelling my.um.eprints.366452024-07-15T00:00:15Z http://eprints.um.edu.my/36645/ Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator Ibrahim, Rabha W. Meshram, Chandrashekhar Hadid, Samir B. Momani, Shaher TA Engineering (General). Civil engineering (General) It is well known that there is a deep connection between the symmetric and traveling wave solutions. It has been shown that all symmetric waves are traveling waves. In this paper, we establish new analytic solution collections of nonlinear conformable time-fractional water wave dynamical equation in a complex domain. For this purpose, we construct a new definition of a symmetric conformable differential operator (SCDO). The operator has a symmetric representation in the open unit disk. By using SCDO, we generalize a class of water wave dynamical equation type time-space fractional complex Ginzburg-Landau equation. The results show that the obtainable approaches are powerful, dependable and prepared to apply to all classes of complex differential equations. (C) 2020 Published by Elsevier B.V. on behalf of Shanghai Jiaotong University. Elsevier 2020-06 Article PeerReviewed Ibrahim, Rabha W. and Meshram, Chandrashekhar and Hadid, Samir B. and Momani, Shaher (2020) Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator. Journal of Ocean Engineering and Science, 5 (2). pp. 186-195. ISSN 2468-0133, DOI https://doi.org/10.1016/j.joes.2019.11.001 <https://doi.org/10.1016/j.joes.2019.11.001>. 10.1016/j.joes.2019.11.001
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic TA Engineering (General). Civil engineering (General)
spellingShingle TA Engineering (General). Civil engineering (General)
Ibrahim, Rabha W.
Meshram, Chandrashekhar
Hadid, Samir B.
Momani, Shaher
Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
description It is well known that there is a deep connection between the symmetric and traveling wave solutions. It has been shown that all symmetric waves are traveling waves. In this paper, we establish new analytic solution collections of nonlinear conformable time-fractional water wave dynamical equation in a complex domain. For this purpose, we construct a new definition of a symmetric conformable differential operator (SCDO). The operator has a symmetric representation in the open unit disk. By using SCDO, we generalize a class of water wave dynamical equation type time-space fractional complex Ginzburg-Landau equation. The results show that the obtainable approaches are powerful, dependable and prepared to apply to all classes of complex differential equations. (C) 2020 Published by Elsevier B.V. on behalf of Shanghai Jiaotong University.
format Article
author Ibrahim, Rabha W.
Meshram, Chandrashekhar
Hadid, Samir B.
Momani, Shaher
author_facet Ibrahim, Rabha W.
Meshram, Chandrashekhar
Hadid, Samir B.
Momani, Shaher
author_sort Ibrahim, Rabha W.
title Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
title_short Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
title_full Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
title_fullStr Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
title_full_unstemmed Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
title_sort analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator
publisher Elsevier
publishDate 2020
url http://eprints.um.edu.my/36645/
_version_ 1805881099465785344
score 13.18916