Detail publikačního výsledku

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

NAVRÁTIL, D.

Originální název

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

Anglický název

Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

NAVRÁTIL, D.

Rok RIV

2025

Vydáno

27.05.2024

Nakladatel

BIRKHAUSER VERLAG AG

Místo

BASEL

ISBN

978-3-031-62407-0

Kniha

Geometric Methods in Physics XL

Edice

Trends in Mathematics

ISSN

2297-024X

Periodikum

Trends in Mathematics

Číslo

27.5.2024

Stát

Švýcarská konfederace

Strany od

427

Strany do

435

Strany počet

9

URL

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

BibTex

@inproceedings{BUT191207,
  author="Dušan {Navrátil}",
  title="Lie Symmetry Analysis of the Charney-Hasegawa-Mima Equation",
  booktitle="Geometric Methods in Physics XL",
  year="2024",
  series="Trends in Mathematics",
  journal="Trends in Mathematics",
  number="27.5.2024",
  pages="427--435",
  publisher="BIRKHAUSER VERLAG AG",
  address="BASEL",
  doi="10.1007/978-3-031-62407-0\{_}29",
  isbn="978-3-031-62407-0",
  issn="2297-024X",
  url="https://link.springer.com/chapter/10.1007/978-3-031-62407-0_29"
}