Shocks and solitons in collisional dense laser produced plasmas

Abstract

The characteristics of nonlinear electron-acoustic waves such as shocks and solitons, are investigated in a three component, dense laser produced plasma consisting of ions and two distinct groups of electrons, using the quantum hydrodynamic model and the standard reductive perturbation method. The modified Korteweg-deVries (mKdV) and Korteweg-deVries-Burgers (KdVB)equations have been derivedfor the electron-acoustic waves in the plasma. The dependence of both shocks and solitons on various parameters has been extensively studied. It is observed that whenever the density crosses the limit from the classical to the quantum range, the effective potential remains invariant for the solitary profiles; but shows a slight variation for the shock profiles. The collisional effect plays a significant role in the dissipation of solitary waves and the dissipation is larger for higher values of collision frequencies. The results obtained could prove helpful for understanding the parametric dependence of nonlinear waves in highly intense laser plasma interactions.

A Hybrid Computational Intelligence Method of Newton's Method and Genetic Algorithm for Solving Compatible Nonlinear Equations

“…If 1 k is too small, the ratio will approach ∞, which will make the fitness and selection probability of individuals with larger function values in the current population too small, losing the chance of reproduction, which leads to the rapid concentration of the group to one or several individuals, reduces the probability of successful solution. In general, the value of 1 k is suitable between 0.01 and 0.1, and the ratio of the maximum and minimum fitness between individuals in the same generation group is between Since the max F and min F of each generation in the algorithm change with different groups, HCIA is highly adaptive and robust in determining fitness and selection probability [12].…”