Nonlinear waves are disturbances in a medium where the wave's amplitude affects its speed and shape. Unlike linear waves, which follow predictable patterns, nonlinear waves can lead to complex behaviors such as wave steepening, breaking, or the formation of solitons. These phenomena occur in various contexts, including ocean waves, plasma physics, and optical fibers. In nonlinear systems, small changes in conditions can result in significant effects, making their study important in fields like meteorology and engineering. Understanding nonlinear waves helps scientists and engineers predict and manage wave behavior in natural and artificial systems, enhancing safety and efficiency in applications like communication technology.