Group properties and solutions for the 1D Hall MHD system in the cold plasma approximation

نویسندگان

چکیده

We study the Lie point symmetries and similarity transformations for partial differential equations of nonlinear one-dimensional magnetohydrodynamic system with Hall term known as HMHD system. For this 1+1 we find that is invariant under action a seventh dimensional algebra. Furthermore, optimal derived while invariants are applied derivation transformations. present different kinds oscillating solutions.

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ژورنال

عنوان ژورنال: European Physical Journal Plus

سال: 2021

ISSN: ['2190-5444']

DOI: https://doi.org/10.1140/epjp/s13360-021-01550-5