Solitary waves and rogue waves in a plasma with nonthermal electrons featuring Tsallis distribution

In this Letter, we discuss the electron acoustic (EA) waves in plasmas, which consist of nonthermal hot electrons featuring the Tsallis distribution, and obtain the corresponding governing equation, that is, a nonlinear Schrödinger (NLS) equation. By means of Modulation Instability (MI) analysis of the EA waves, it is found that both electron acoustic solitary wave and rogue wave can exist in such plasmas. Basing on the Darboux transformation method, we derive the analytical expressions of nonlinear solutions of NLS equations, such as single/double solitary wave solutions and single/double rogue wave solutions. The existential regions and amplitude of solitary wave solutions and the rogue wave solutions are influenced by the nonextensive parameter q and nonthermal parameter α. Moreover, the interaction of solitary wave and how to postpone the excitation of rogue wave are also studied. •EA solitary wave and EA rogue wave in plasmas with nonthermal hot electrons featuring the Tsallis distribution are studied.•Modulation Instability causes the emergence of the solitary wave and rogue wave.•The interaction between two solitary waves and two rogue waves are investigated.•It is feasible to excite, postpone and inhibit the occurrence of the rogue waves in plasmas by adjusting the parameters.