RT journal article
T1 Analysis of the Generalized Ostrovsky Equation in the Propagation of Surface and Internal Waves in Rotating Fluids
A1 Sáez Martínez, Sol
A2 Matemáticas
K1 conservation laws
K1 Ostrovsky equation
K1 reductions
K1 symmetries
AB The Ostrovsky equation models long, weakly nonlinear waves, explaining the propagation of surface and internal waves in a rotating fluid. The study focuses on the generalized Ostrovsky equation. Introduced by Levandosky and Liu, this equation demonstrates the existence of solitary waves through variational methods. This paper investigates the generalized Ostrovsky equation using Lie symmetry group method and low local conservation laws, essential for analyzing differential equations and describing conserved physical and chemical processes. Specific cases reduce it to the Ostrovsky or generalized Korteweg–de Vries (KdV) equations. Detailed calculations of local conservation laws, classical point symmetries, and symmetry reductions are provided, offering invariant solutions and Lie symmetry groups. This research advances the understanding of differential equations and their applications in modeling scientific phenomena.
PB Wiley
SN 1099-1476
YR 2025
FD 2025
LK http://hdl.handle.net/10498/39166
UL http://hdl.handle.net/10498/39166
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 09-may-2026