  Strongly coupled systems occupying the transitional range between the Wigner
crystal and fluid phases are most dynamic constituents of the nature. Highly
localized but strongly interacting elements in this phase posses enough thermal
energy to trigger the transition between a variety of short to long range order
phases. Nonlinear excitations are often the carriers of proliferating
structural modifications in the strongly coupled Yukawa systems. Well
represented by a laboratory dusty plasma, these systems show explicit
propagation of nonlinear shocks and solitary structures both in experiments and
in first principle simulations. The shorter scale length contributions remain
absent at strong screening in present approximate models which nevertheless
prescribe nonlinear solitary solutions that consequently lose their coherence
in a numerical evolution of the system under a special implementation of the
quasi-localized charge approximation formulation. The stable coherent
structures self-consistently emerge following an initial transient in the
numerical evolution which adapts QLCA approach to spatiotemporal domain for
accessing the nonlinear excitations in the strong screening limit. The present
kappa ~ 1 limit of the existing Yukawa fluid models to show agreement with the
experiment and MD simulations has therefore been overcome and the coherent
nonlinear excitaitons have become characterizable up to kappa ~ 2.7, before
they becoming computationally challenging in present implementation.
