Dynamical Behaviour of Ocean Waves Described by the Geophysical-Burgers’ Equation

Phase Plane analysis is applied to study nonlinear waves described by the Geophysical-Burgers’ equation. A travelling wave transformation is considered to convert the geophysical-Burgers’ equation to a dynamical system. All equilibrium points of the corresponding dynamical system are obtained and analysed based on the corresponding eigenvalues. Phase portrait for the dynamical system is plotted. Solutions of kink and anti-kink waves corresponding to heteroclinic orbits and periodic waves corresponding to periodic orbits are obtained. Effect of various parameters on these wave solutions is shown.