English: Space time plot of a breathing dissipative soliton in a two-component reaction diffusion system, generated by Dr. Hendrik U. Boedeker (June 2007).

The system reads

${\displaystyle {\begin{array}{rl}\partial _{t}u&=d_{u}^{2}\Delta u+\lambda u-u^{3}-\kappa _{3}v+\kappa _{1},\\\tau \partial _{t}v&=d_{v}^{2}\Delta v+u-v\end{array}}}$

with λ = 4.67, τ = 5.0, d_u² = 0.000467, d_v² = 0.01, κ₁ = -1.126, κ₃ = -3.33, no-flux boundary conditions have been used.

A finite-element algorithm was used in the calculation.