Soliton in Inhomogeneous Plasma
In laser plasma interaction, plasma is both inhomogeneous and nonlinear to large amplitude plasma waves. The large amplitude wave packet modifies the plasma density through the action of ponderomotive force. Soliton propagation and the dynamics in inhomogeneous plasma can be described by the inhomogeneous Nonlinear Schrodinger Equation. Accelerating stable pulses in the form of solitons are found to exist in the inhomogeneous plasma. We propose a generalized reversible transformation between the generalized Nonlinear Schrodinger Equation (NLSE) and the generalized inhomogeneous NLSE. We obtain soliton solution of the generalized inhomogeneous NLSE hierarchy accelerated in an nonuniform medium using the reversible transformation. The solution in the from of soliton successfully describe the propagation of wave packet in inhomogeneous plasma. The reversible transformations allow us encompassing inhomogeneous NLSE hierarchy belonging to the class of nonisospectral family of inverse scattering problems into the family of isospectral NLSE class of equations and study them under a general mathematical framework.
