A theoretical investigation is carried out for contribution of the higher-order nonlinearity to nonlinear dust-acoustic solitary waves (DASWs) in an unmagnetized two types of dust fluids (one cold and the other is hot) in the presence of Bolltzmannian ions and electrons. A KdV equation that contains the lowest-order nonlinearity and dispersion is derived from the lowest order of perturbation and a linear inhomogeneous (KdV-type) equation that accounts for the higher-order nonlinearity and dispersion is obtained. A stationary solution for equations resulting from higher-order perturbation theory has been found using the renormalization method. The effects of hot and cold dust charge grains are found to significantly change the higher-order properties (viz. the amplitude and width) of the DASWs.
El-Shewy, E. K.; Abdelwahed, H. G.; Abo el Maaty, M. I.; and Elmessary, M. A.
Improved dust acoustic solitary waves in two temperature dust fluids,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 5,
1, Article 3.
Available at: https://digitalcommons.pvamu.edu/aam/vol5/iss1/3