Effect of trapped particle nonlinearity in IAW solitary wave

Plasma support a great variety of coherent nonlinear structures. These include shocks, double layers, solitary wave, vortex etc. In the formation of this coherent structures in collision-less or collisional plasma, involves dispersion and nonlinearities together. Fluid and kinetic models are frequently used to investigate the formation and evolution of this structure. In addition with the macroscopic fluid nonlinearity there is also microscopic trapped particle nonlinearity (TN) which are responsible for the formation of the coherent structures. Including this trapped particle effect the various phenomena in plasma can be explained where the plasma follows the Nonlinear Dispersion Relation (NDR). Solitary electron hole (SEH), Solitary potential dip (SPD), cnoidal electron hole wavelet (CEHWL) are the examples of three special type of trapped particle structures, which are found in both laboratory and space plasma, following NDR. In our present Vlasov simulation, in the regime of small amplitude limit, SEHs are also found to grow on IAW branch of plasma wave, in presence of electron current. In this small amplitude limit the trapped particle nonlinearity is shown to dominate over predominate over the hydrodynamic nonlinearity in the formation of the solitary wave. (author)