Shallow‐water equations with complete Coriolis force: Group properties and similarity solutions
The group properties of the shallow‐water equations with the complete Coriolis force are the subject of this study. In particular, we apply the Lie theory to classify the system of three nonlinear partial differential equations according to the admitted Lie point symmetries. For each case of the cla...
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| Published in | Mathematical methods in the applied sciences Vol. 44; no. 7; pp. 6037 - 6047 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
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15.05.2021
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| Abstract | The group properties of the shallow‐water equations with the complete Coriolis force are the subject of this study. In particular, we apply the Lie theory to classify the system of three nonlinear partial differential equations according to the admitted Lie point symmetries. For each case of the classification problem, the one‐dimensional optimal system is determined. The results are applied for the derivation of new similarity solutions. |
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| AbstractList | The group properties of the shallow‐water equations with the complete Coriolis force are the subject of this study. In particular, we apply the Lie theory to classify the system of three nonlinear partial differential equations according to the admitted Lie point symmetries. For each case of the classification problem, the one‐dimensional optimal system is determined. The results are applied for the derivation of new similarity solutions. |
| Author | Paliathanasis, Andronikos |
| Author_xml | – sequence: 1 givenname: Andronikos orcidid: 0000-0002-9966-5517 surname: Paliathanasis fullname: Paliathanasis, Andronikos email: anpaliat@phys.uoa.gr organization: Durban University of Technology |
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| SubjectTerms | Coriolis Coriolis force invariants Lie symmetries Mathematical analysis Nonlinear differential equations Partial differential equations shallow water Similarity solutions |
| Title | Shallow‐water equations with complete Coriolis force: Group properties and similarity solutions |
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