Gardner equation

Gardner equation is a nonlinear partial differential equation set up by mathematician Clifford Gardner in 1968 to generalize KdV equation. Gardner equation has application in hydrodynamics, plasma physics and quantum field theory

∂ u ∂ t + ( 2 ∗ a ∗ u − 3 ∗ b ∗ u 2 ) ∗ ∂ u ∂ x + ∂ 3 u ∂ x 3 = 0