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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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 |
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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 |
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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 |
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Elsevier |
publishDate |
2020 |
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http://eprints.um.edu.my/36645/ |
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1805881099465785344 |
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13.18916 |