English: Animation showing a 3d plot changing in time, representing the energy density of a soliton scattering process.

The range for the axes are

• x: -1.5 to 1.5
• y: -1.5 to 1.5
• z: -20 to 130,

and the time t goes from -1 to 1.

The equation is given by ${\displaystyle {\mathcal {E}}=128{\frac {3r^{2}-10t(x^{2}-y^{2})+t^{2}r^{2}-4t^{2}-3r^{4}+1}{(4t^{2}+8t(x^{2}-y^{2})+5r^{4}+1+2r^{2})^{2}}}}$ with ${\displaystyle r^{2}=x^{2}+y^{2}}$.

Plot is based on the text Solitons, Instantons and Twistors by Maciej Dunajski, page 159.