Question: Nonlinear PDE category???

I have a nonlinear partial diff eq which I am sure has been categorized.  How do I go about finding literature on the eq & the approach to solve it.  I have visited various websites that have catalogs of nonlinear partial diff eq's.  The problem is notation is so NONSTANDARD I have no IDEA what I am reading.  I have included a PDF eq_of_choice.pdf with my notation which I am familiar with.  It is vector notation & it includes both time & space of second order along with 1st order terms & curls of the field.

 

Anyone familiar with this?  Let me know what I can do to find out what others have done!!!

 

Please Wait...