The J–S model versus a non-ideal MHD theory

• A non-ideal electromagnetic interpretation of the J–S type viscoelasticity is shown.
• A generalized resisto-elastic magneto-hydrodynamic scenario for collision-less plasmas is proposed.
• The shear-type magnetic waves are investigated.

A new non-ideal electromagnetic interpretation of the J–S type viscoelastic model for polymeric fluids is given and a generalized resisto-elastic magnetohydrodynamic scenario for collisionless plasmas is proposed. The influence of the new theory on the incompressible transverse Alfvén waves is thoroughly investigated.