Existence of both compressional and rarefactive nonlinear solitary waves in a chain of dust particles

Abstract

Not only the compressional dust acoustic solitary wave, but also the rarefactive one in a chain of the dust particles are verified by using the molecular dynamics simulation method. The compressional dust acoustic solitary wave is also obtained by using the traditional reductive perturbation method, while the rarefactive dust acoustic solitary wave solution is fitted by the numerical simulation results. The application scope of the traditional reductive perturbation method to derive compressional dust acoustic solitary waves in a chain of the dust particles is given. The application scope of the fitted results of the rarefactive dust acoustic solitary waves is also given.