Localized Alfvenic solutions of nondissipative and compressible MHD

Alfvenic solutions of nondissipative MHD are entirely determined by their magnetic configuration. With the supplementary assumption of incompressibility any solenoidal field can be used to construct an Alfvenic solution. It is demonstrated that for nondissipative and compressible MHD the energy equation constrains the magnetic field of Alfvenic solutions to have a constant strength along field lines. Some topological solitons known in nondissipative and incompressible MHD do not have this property. New localized axisymmetric Alfvenic solutions of nondissipative and compressible MHD are explicitly constructed.