Symmetries, conservation laws, and generalized travelling waves for a forced Ostrovsky equation

Anco, S.C.; Gandarias Núñez, María Luz

doi:10.1016/j.padiff.2021.100230

Identificadores

URI: http://hdl.handle.net/10498/27215

DOI: 10.1016/j.padiff.2021.100230

ISSN: 2666-8181

Files

SC2022_158.pdf (389.9Kb)

Statistics

View statistics

Metrics and citations

Export

Metadata

Show full item record

Author/s

Anco, S.C.; Gandarias Núñez, María Luz

Date

2022-06

Department

Matemáticas

Source

Partial Differential Equations in Applied Mathematics, Vol. 5

Abstract

Ostrovsky's equation with time- and space-dependent forcing is studied. This equation is model for long waves in a rotating fluid with a non-constant depth (topography). A classification of Lie point symmetries and low-order conservation laws is presented. Generalized travelling wave solutions are obtained through symmetry reduction. These solutions exhibit a wave profile that is stationary in a moving reference frame whose speed can be constant, accelerating, or decelerating

Subjects

Ostrovsky equation; Topographic forcing; Symmetries; Conservation law; Exact solutions; Invariant solution; First integrals; Generalized travelling waves

Collections

This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional

UniversidaddeCádiz