Effect of Coriolis constant on Geophysical Korteweg-de Vries equation
The present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation. Present results are compared with existing results tha...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-06-01
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| Series: | Journal of Ocean Engineering and Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013318301931 |
| _version_ | 1828464504549146624 |
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| author | P. Karunakar S. Chakraverty |
| author_facet | P. Karunakar S. Chakraverty |
| author_sort | P. Karunakar |
| collection | DOAJ |
| description | The present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation. Present results are compared with existing results that are available in the literature and they are found to be in good agreement. Then the Coriolis term has been considered in terms of the interval to form interval Geophysical Korteweg-de Vries (IgKdV) equation. IgKdV equation has been solved by HPM to analyse the effect of Coriolis. From this analysis, it has been concluded that the constant of Coriolis is directly proportional to wave height and inversely proportional to wavelength. The presence of the Coriolis term in gKdV equation has a remarkable change in the shape of the solution. Keywords: Geophysical Korteweg-de Vries Equation, Coriolis constant, HPM, Interval gKdV |
| first_indexed | 2024-12-11T03:15:34Z |
| format | Article |
| id | doaj.art-f01df302f06d4283a1ab9fdbdfe93cc1 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-12-11T03:15:34Z |
| publishDate | 2019-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-f01df302f06d4283a1ab9fdbdfe93cc12022-12-22T01:22:46ZengElsevierJournal of Ocean Engineering and Science2468-01332019-06-0142113121Effect of Coriolis constant on Geophysical Korteweg-de Vries equationP. Karunakar0S. Chakraverty1Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769 008 Odisha, IndiaCorresponding author.; Department of Mathematics, National Institute of Technology Rourkela, Rourkela 769 008 Odisha, IndiaThe present article investigates the effect of Coriolis constant on the solution of the Geophysical Korteweg-de Vries (gKdV) equation. As such, the Homotopy Perturbation Method (HPM) has been applied here for solving the nonlinear gKdV equation. Present results are compared with existing results that are available in the literature and they are found to be in good agreement. Then the Coriolis term has been considered in terms of the interval to form interval Geophysical Korteweg-de Vries (IgKdV) equation. IgKdV equation has been solved by HPM to analyse the effect of Coriolis. From this analysis, it has been concluded that the constant of Coriolis is directly proportional to wave height and inversely proportional to wavelength. The presence of the Coriolis term in gKdV equation has a remarkable change in the shape of the solution. Keywords: Geophysical Korteweg-de Vries Equation, Coriolis constant, HPM, Interval gKdVhttp://www.sciencedirect.com/science/article/pii/S2468013318301931 |
| spellingShingle | P. Karunakar S. Chakraverty Effect of Coriolis constant on Geophysical Korteweg-de Vries equation Journal of Ocean Engineering and Science |
| title | Effect of Coriolis constant on Geophysical Korteweg-de Vries equation |
| title_full | Effect of Coriolis constant on Geophysical Korteweg-de Vries equation |
| title_fullStr | Effect of Coriolis constant on Geophysical Korteweg-de Vries equation |
| title_full_unstemmed | Effect of Coriolis constant on Geophysical Korteweg-de Vries equation |
| title_short | Effect of Coriolis constant on Geophysical Korteweg-de Vries equation |
| title_sort | effect of coriolis constant on geophysical korteweg de vries equation |
| url | http://www.sciencedirect.com/science/article/pii/S2468013318301931 |
| work_keys_str_mv | AT pkarunakar effectofcoriolisconstantongeophysicalkortewegdevriesequation AT schakraverty effectofcoriolisconstantongeophysicalkortewegdevriesequation |