Abstract
Propagation of two-dimensional nonlinear ion-acoustic solitary waves and shocks in a dissipative quantum plasma is analyzed. By applying the reductive perturbation theory, the two-dimensional ion acoustic solitary waves in a dissipative quantum plasma lead to a nonlinear Kadomtsev-Petviashvili-Burgers (KPB) equation. By implementing extended direct algebraic mapping, extended sech-tanh, and extended direct algebraic sech methods, the ion solitary traveling wave solutions of the two-dimensional nonlinear KPB equation are investigated. An analytical as well as numerical solution of the two-dimensional nonlinear KPB equation is obtained and analyzed with the effects of external electric field and ion pressure. Copyright (C) 2016 John Wiley & Sons, Ltd.