Talk:Nonlinear partial differential equation

I have undone the attempt to sort the equations for the following reasons:
 * Many of the equations work in all dimensions and should not be sorted into particular dimensions
 * It can be hard to tell whether a given equation is integrable or not; it seems better to label the individual equations for which this is known rather than try to sort them. (And several equations were misclassified). R.e.b. (talk) 20:30, 2 April 2008 (UTC)

Comments
Chiral field is a special case of the $$ \sigma$$-model, and what is listed in the table as "$$ \sigma$$ model" is also just a special case of the latter. All the above are special cases of "minimal surfaces" or "harmonic maps", and may be defined in all dimensions (although only 1+1 is known to be "integrable"). The $$ \sigma$$-model is just when the target space is a Riemannian symmetric space. A slight modification leads to the WZW (Wess-Zumino-Witten) model, which is important in conformal field theory.

The "eikonal equation" can occur in any (spatial) dimension and is, of course, a special case of the Hamilton-Jacobi equation. 24.202.238.172 (talk) 16:37, 6 April 2008 (UTC)

Further equations
Gauss-Codazzi equations  (geometry / surfaces)

Garnier equations (isomonodromic deformations)

Witham equations (dispersionless limit / phase averaging)  132.205.67.123 (talk) 18:19, 3 April 2008 (UTC)

Blasius Equation – Kusg11 (talk) 08:49, 23 April 2013 (UTC)

bateman
Does the Bateman equation $$f_{xx}\,f_y^2 - 2f_{xy}\,f_xf_y +f_{yy}\,f_x^2=0$$ belong here? Tkuvho (talk) 05:05, 27 October 2010 (UTC)

tables...
The thick borders makes it really hard to concentrate and read the equations becuase there are so many visable(at least I think so). The defualt finer lines look much more pleasant and have a more modern, cleaner appearance to them - the thick black lines look like a crude felt-tip! I will remove the thick bordering but try to preserve the colours.

Also indented the tables so they are not "glued" to the edge. F = q(E+v×B) ⇄ ∑ici 10:05, 19 June 2012 (UTC)

"List" of nonlinear partial differential equations?
This article seems to be more than a "list" of nonlinear partial differential equations to me. Why not just call it "nonlinear partial differential equation"? —Kri (talk) 03:10, 19 August 2012 (UTC)

Log Schroedinger Equation?
I did not find mention of the Logarithmic Schrödinger equation on the list of PDEs. Did I miss something? TonyMath (talk) 09:50, 25 November 2016 (UTC)