The Swift–Hohenberg equation (named after Jack B. Swift and Pierre Hohenberg) is a partial differential equation noted for its pattern-forming behaviour. It takes the form ∂ u ∂ t = r u − ( 1 + ∇ 2 ) 2 u + N ( u ) {\displaystyle {\frac {\partial u}{\partial t}}=ru-(1+\nabla ^{2})^{2}u+N(u)} where u = u(x, t) or u = u(x, y, t) is a scalar function defined on the line or the plane, r is a real bifurcation parameter, and N(u) is some smooth nonlinearity.
The Swift–Hohenberg equation (named after Jack B. Swift and Pierre Hohenberg) is a partial differential equation noted for its pattern-forming behaviour. It takes the form ∂ u ∂ t = r u − ( 1 + ∇ 2 ) 2 u + N ( u ) {\displaystyle {\frac {\partial u}{\partial t}}=ru-(1+\nabla ^{2})^{2}u+N(u)} where u = u(x, t) or u = u(x, y, t) is a scalar function defined on the line or the plane, r is a real bifurcation parameter, and N(u) is some smooth nonlinearity.
Source: Wikipedia "Swift–Hohenberg equation" · CC BY-SA 4.0
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