Shallow‐water equations with complete Coriolis force: Group properties and similarity solutions

• Published in: Mathematical methods in the applied sciences Vol. 44; no. 7; pp. 6037 - 6047
• Main Author: Paliathanasis, Andronikos
• Format: Journal Article
• Language: English
• 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

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...