Talk:Nonlinear partial differential equation

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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)[reply]

Comments[edit]

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)[reply]

Further equations[edit]

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)[reply]

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

bateman[edit]

Does the Bateman equation $f_{xx}\,f_{y}^{2}-2f_{xy}\,f_{x}f_{y}+f_{yy}\,f_{x}^{2}=0$ belong here? Tkuvho (talk) 05:05, 27 October 2010 (UTC)[reply]

tables...[edit]

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) ⇄ ∑_ic_i 10:05, 19 June 2012 (UTC)[reply]

"List" of nonlinear partial differential equations?[edit]

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)[reply]

Log Schroedinger Equation?[edit]

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)[reply]