Abstract
Via symbolic computation, this paper investigates a nonlinear Schrödinger (NLS) equation with self-consistent sources (SCSs), which can describe the nonlinear interaction between an electrostatic high-frequency wave and an ion-acoustic wave in a two-component homogeneous plasma. An infinite number of conservation laws is obtained by virtue of the Ablowitz–Kaup–Newell–Segur system. Bilinear form and bright one- and N-soliton solutions are also obtained via the Hirota method. Graphical descriptions of the one- and two-soliton solutions are presented. Through the comparison with the NLS equation, it is found that the SCSs lead to phase and velocity changes of the solitons.
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