ICTS:30035

Video URL

Solutions of Magnetohydrodynamics Equation through Symmetries

Solutions of Magnetohydrodynamics Equation through Symmetries

(2024). Solutions of Magnetohydrodynamics Equation through Symmetries. SciVideos. https://youtu.be/AsVeBFHxg3o

Solutions of Magnetohydrodynamics Equation through Symmetries. SciVideos, Oct. 23, 2024, https://youtu.be/AsVeBFHxg3o 

          @misc{ scivideos_ICTS:30035,
            doi = {},
            url = {https://youtu.be/AsVeBFHxg3o},
            author = {},
            keywords = {},
            language = {en},
            title = {Solutions of Magnetohydrodynamics Equation through Symmetries},
            publisher = {},
            year = {2024},
            month = {oct},
            note = {ICTS:30035 see, \url{https://scivideos.org/icts-tifr/30035}}
          }
Peter Leach
Talk numberICTS:30035
Source RepositoryICTS-TIFR
Source EventDiscrete integrable systems: difference equations, cluster algebras and probabi…
Collection

Abstract

The magnetohydrodynamics (1 + 1) dimension equation, with a force and force-free term, is analysed with respect to its point symmetries. Interestingly, it reduces to an Abel’s Equation of the second kind and, under certain conditions, to equations specified in Gambier’s family. The symmetry analysis for the force-free term leads to Euler’s Equation and to a system of reduced second-order odes for which singularity analysis is performed to determine their integrability.