Publication detail

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

NAVRÁTIL, D.

Original Title

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

Type

journal article in Web of Science

Language

English

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.

Keywords

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

Authors

NAVRÁTIL, D.

Released

27. 5. 2024

Publisher

BIRKHAUSER VERLAG AG

Location

BASEL

ISBN

2297-024X

Periodical

Trends in Mathematics

Number

27.5.2024

State

Swiss Confederation

Pages from

427

Pages to

435

Pages count

9

URL

https://link.springer.com/chapter/10.1007/978-3-031-62407-0_29

BibTex

@article{BUT191207,
  author="Dušan {Navrátil}",
  title="Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation",
  journal="Trends in Mathematics",
  year="2024",
  number="27.5.2024",
  pages="427--435",
  doi="10.1007/978-3-031-62407-0\{_}29",
  issn="2297-024X",
  url="https://link.springer.com/chapter/10.1007/978-3-031-62407-0_29"
}