General Maxwellian Dynamics, defined by the simultaneous equations $\vb r= \vb u \cross \vb a;\,$ $\vb u= (\vb a \cross \vb r)/\norm{\vb a}^2;\,$ $\vb a = (\vb r \cross \vb u)/\norm{\vb u}^2$, describes novel rotary waves. These are Maxwellian solitons that could model particles physically.

[See the full post at: General Maxwellian Dynamics defined by a novel equation set. Particles are Maxwellian solitons.]