Burgers' equation

Burgers' equation is a fundamental mathematical model used to describe how waves or signals move and change within a fluid or medium. It combines two key effects: the spreading or diffusion of the wave, similar to how ink disperses in water, and nonlinear advection, which causes waves to steepen and form sharp features like shock waves. This equation helps scientists understand phenomena such as turbulence, traffic flow, and gas dynamics by capturing the balance between smooth spreading and sharp, sudden changes in the system.