Hyperbolic equations

Hyperbolic equations are a category of partial differential equations characterized by their ability to model wave-like phenomena. In simpler terms, they describe how waves propagate through various mediums, such as sound waves in air or light waves. Unlike other equations, hyperbolic equations take into account how changes at one point can affect distant points over time, similar to how a ripple spreads across water. They are essential in fields like physics, engineering, and finance, providing insights into dynamic systems and helping to predict future behavior based on initial conditions.