%0 Journal Article %1 cheviakov.2004 %A Cheviakov, Alexei F %A Bogoyavlenskij, Oleg I %D 2004 %J Journal of Physics A: Mathematical and General %K i-mhd mhd_symmetry analytical flow equilibrium anisotropic_pressure %N 30 %P 7593-7607 %R 10.1088/0305-4470/37/30/014 %T Exact anisotropic MHD equilibria %U http://stacks.iop.org/0305-4470/37/7593 %V 37 %X An infinite-dimensional Lie group of symmetries of the anisotropic Chew-Goldberger-Low (CGL) plasma equilibrium equations is introduced. The symmetries are used to construct families of new anisotropic plasma equilibria. An infinite-dimensional family of transformations between solutions to the isotropic magnetohydrodynamic (MHD) equilibrium equations and solutions to the anisotropic CGL plasma equilibrium equations is presented. The transformations depend on the topology of the original solutions and produce a wide class of anisotropic plasma equilibrium solutions, including 3D solutions with no geometrical symmetries.

@article{cheviakov.2004, abstract = {An infinite-dimensional Lie group of symmetries of the anisotropic Chew-Goldberger-Low (CGL) plasma equilibrium equations is introduced. The symmetries are used to construct families of new anisotropic plasma equilibria. An infinite-dimensional family of transformations between solutions to the isotropic magnetohydrodynamic (MHD) equilibrium equations and solutions to the anisotropic CGL plasma equilibrium equations is presented. The transformations depend on the topology of the original solutions and produce a wide class of anisotropic plasma equilibrium solutions, including 3D solutions with no geometrical symmetries.}, added-at = {2009-02-27T02:42:28.000+0100}, author = {Cheviakov, Alexei F and Bogoyavlenskij, Oleg I}, biburl = {https://www.bibsonomy.org/bibtex/27f580845b92c6d0d508b5017665ee502/prodrigues}, description = {Provides a continuous transformation between MHD solutions with and without anisotropic pressure.}, doi = {10.1088/0305-4470/37/30/014}, interhash = {6d7883e12196ac1e88c2c41538fc9bce}, intrahash = {7f580845b92c6d0d508b5017665ee502}, journal = {Journal of Physics A: Mathematical and General}, keywords = {i-mhd mhd_symmetry analytical flow equilibrium anisotropic_pressure}, month = {July}, number = 30, pages = {7593-7607}, timestamp = {2009-02-27T02:42:28.000+0100}, title = {Exact anisotropic MHD equilibria}, url = {http://stacks.iop.org/0305-4470/37/7593}, volume = 37, year = 2004 }