Modeling of nonlinear envelope solitons in strongly coupled dusty plasmas: Instability and collision

Modeling of instability and collision of nonlinear dust-acoustic (NDA) envelope 
solitons in strongly coupled dusty plasmas (SCDPs) is theoretically investigated. The SCDPs 
consists of strongly correlated negatively variable-charged dust grains and weakly 
correlated Boltzmann electrons and ions. Using the derivative expansion perturbation 
technique, a nonlinear Schrödinger-type (NLST) equation for describing the propagation of 
NDA envelope solitons is derived. Moreover, the extended Poincaré–Lighthill–Kuo (EPLK