Quasi-Localized charge approximation (QLCA) approach for the nonlinear structures in strongly coupled Yukawa systems

Nonlinear excitations in a strongly coupled dusty plasma system [1] are investigated within the Quasi-Localized Charged Approximation QLCA framework [2]. A QLCA based model is considered allowing to account for the finite configurational localization of the strongly coupled dust species addressing their nonlinear regime of excitation governed by the rather dominating deterministic isothermal dust compressibility mechanism, than the effective pressure or kinetic randomness effects. Distinct but physically concurrent representations of finite localization effect in the long wavelength limit are adopted suitable for analytic and numerical approaches, respectively, to the nonlinear spatiotemporal solutions of the model. The results predict increment in both the amplitude and width of a solitary wave when strong coupling with finite localization effect is admitted. This behavior is distinct from the linear and nonlinear excitations produced when strong coupling is accounted for by its effective representation which excludes explicit configurational localization of highly charged dust species [2,3] as essential in sufficiently strong coupling limit. Detailed spatiotemporal evolution of the nonlinear solitary solutions is presented and quantitatively validated.