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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Bibliographic Details
Published inMathematical methods in the applied sciences Vol. 44; no. 7; pp. 6037 - 6047
Main Author Paliathanasis, Andronikos
Format Journal Article
LanguageEnglish
Published Freiburg Wiley Subscription Services, Inc 15.05.2021
Subjects
Coriolis
Coriolis force
invariants
Lie symmetries
Mathematical analysis
Nonlinear differential equations
Partial differential equations
shallow water
Similarity solutions
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7168