The study of nonlinear dynamics in wave equations encompasses a broad spectrum of phenomena arising when dispersive propagation interacts with nonlinear response. Central themes include the formation ...

A class of differential equations well known as nonlinear evolution equations (NLEEs) describes the evolution of physical, biological, or other systems over time. These equations are “nonlinear,” ...

Nonlinear waves in physical systems are wave phenomena governed by equations in which the restoring forces or constitutive relations depend nonlinearly on the field amplitudes, leading to ...