On the possibility of rogue waves generation based on the dynamics of the modified Burridge-Knopoff model of earthquake fault and effects of the magma force

We propose a modified Burridge-Knopoff model of earthquake fault, in which two tectonic plates are strongly coupled by nonlinear springs. Depending on the strength of the stick-slip friction force, the system exhibits both stick-slip and damped oscillatory motions and wave profile which fits the Peregrine solution of the damped/forced nonlinear Schrodinger amplitude equation. Our results strongly suggest that rogue waves can emanate from the dynamics of nonlinearly coupled tectonic plates in subduction zones. This is further complemented by the fact that these giant waves were initially observed in Pacific and Atlantic oceans, which play hosts to the world's largest oceanic subduction zones. In the presence of the external influence of magma up flow, we demonstrate that an increase in the magnitude of the magma thrust force can lead to more localized and violent vibrations of earthquake. Results of numerical simulations equally reveal the long-term stability of the modulated seismic waves in a regime of weak damping and magma thrust forces. We suggest that the evolution of modulated seismic waves may serve as a precursor for the occurrence of earthquakes and volcanic eruptions.