Gardner equation Numerical: Solves the Gardner equation using method of lines
gkdv.m function file for numerical Gardner equation
Gardner Analytical: Uses the analyitcal solution of the Whitham modulation equations
with a step initial condition.
Hydraulic solution: Solves analytically the Steady non-dispersive Gardner equation with forcing
ab continuation: This program use numerical continuation to illustrate the computation of stationary solutions, Hopf bifurcations and periodic
solutions, and the computation loci of folds and Hopf bifurcation points.
It plots the eigenvalues of the system so the point of the Hopf bifurcation can be illustrated.
local bifurcation in which a fixed point of a dynamical system loses stability as a pair of complex
conjugate eigenvalues of the linearization around the fixed point cross the imaginary axis of the complex plane