Mathematicians and Physicists like to give fancy names to their favorite equations, such as Monge-Ampère, Hamilton-Jacobi, Navier-Stokes, Cahn-Hilliard, Ginzburg-Landau, etc. Do you know the definition and context of the following famous nonlinear partial differential equations of evolution?
- Non Linear Schrödinger equation (NLS)
- Korteweg-de Vries equation (KdV)
- Fisher-Kolmogorov-Petrovski-Piskunov equation (Fisher-KPP)
- Kardar-Parisi-Zhang equation (KPZ)
The first two give rise to solitons, the third one to traveling waves, while the last one is connected to interface growth and Tracy-Widom (survey). You may find many other nonlinear equations with fancy names here.