Publication detail

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

NAVRÁTIL, D.

English title

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

Type

journal article in Web of Science

Language

en

Original abstract

The Charney-Hasegawa-Mima equation is introduced to describe the motion of large-scale waves in a rotating frame of reference. Using the infinitesimal method, Lie point symmetries of the CHM equation are derived, and the corresponding transformations are interpreted geometrically. These results can assist in understanding the structure of the solutions obtained for the CHM equation.

English abstract

The Charney-Hasegawa-Mima equation is introduced to describe the motion of large-scale waves in a rotating frame of reference. Using the infinitesimal method, Lie point symmetries of the CHM equation are derived, and the corresponding transformations are interpreted geometrically. These results can assist in understanding the structure of the solutions obtained for the CHM equation.

Keywords in English

Lie symmetries, infinitesimal method, Charney-Hasegawa-Mima equation, geophysical fluid dynamics, quasi-geostrophic model, partial differential equation

Released

27.05.2024

Publisher

BIRKHAUSER VERLAG AG

Location

BASEL

ISSN

2297-024X

Number

27.5.2024

Pages from–to

427–435

Pages count

9

BIBTEX


@article{BUT191207,
  author="Dušan {Navrátil},
  title="Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation",
  year="2024",
  number="27.5.2024",
  month="May",
  pages="427--435",
  publisher="BIRKHAUSER VERLAG AG",
  address="BASEL",
  issn="2297-024X"
}