Time-fractional Gardner equation for ion-acoustic waves in negative-ion-beam plasma with negative ions and nonthermal nonextensive electrons

摘要: Nonlinear propagation of ion-acoustic waves is investigated in a one-dimensional, unmagnetized plasma consisting positive ions, negative and nonthermal electrons featuring Tsallis distribution that penetrated by negative-ion-beam. The classical Gardner equation derived to describe nonlinear behavior the considered system via reductive perturbation technique. We convert into time-fractional Agrawal's method, where term under sense Riesz fractional derivative. Employing variational iteration we construct solitary wave solutions with initial condition which depends on dispersion coefficients. effect parameters compressive rarefactive also discussed detail.