We present a study on the solitons in strongly coupled Yukawa fluids using a simple fluid model (SFE), supplemented by an appropriate equation of state for the medium. The formulation covers a broad range of coupling ($\Gamma$) and screening ($\kappa$) parameters, showing an agreement with the nonlinear quasilocalized charged approximation and generalized hydrodynamic models in the weak screening regime of the solitons in Yukawa media. The results also show a quantitative agreement with the experimentally measured values of the width and Mach number with the normalized amplitude. It has also been observed that the amplitude and width of the soliton in the weak screening limit increase with $\Gamma$ up to $\Gamma \sim 10$, beyond which they remain independent of $\Gamma$ values. Molecular dynamics simulations also confirm that the localization begins to emerge beyond $\Gamma \sim 10$, showing no significant effects on the characteristics of the solitons in Yukawa media. Therefore, the SFE model is capable of predicting the impact of the onset of the localization on the solitons in Yukawa media. Additionally, the amplitude of the soliton increases while its width decreases with $\kappa$ values. The SFE model also explores the possibility of forming refractive soliton structures, whose intensity increases with $\kappa$ values and decreases with $\Gamma$ values.

In this paper, the effect of a relativistically intense Gaussian laser pulse, on the propagation of electron plasma wave is studied. The nonlinear effects considered here are the relativistic decrease of the plasma frequency and the ponderomotive expelling of the electrons. Modified coupled equations for laser and electron plasma wave are derived from fluid equations. These coupled equations are solved analytically and numerically to study the laser intensity in the plasma and the variation of amplitude of the excited electron plasma wave. It is seen that the effect of including the ponderomotive nonlinearity is significant on the excitation of plasma wave. This should affect the number of energetic electrons and their energy range on account of wave particle interaction.