We present, for the first time, a formulation of the Thomas–Fermi model, taking into account thermal, nonextensive, and relativistic effects. A new generalized Thomas–Fermi equation is obtained. It is shown that unlike the thermal corrections, the nonextensivity prescription has no influence...

The problem of the modulational instability (MI) of electron-acoustic waves (EAWs) in a plasma with Cairns–Tsallis distributed electrons is addressed. Using the standard multiple scale method, we derive a nonlinear Schrödinger-like equation. Electron nonextensivity and nonthermality are found...

The role electron nonextensivity may play on the energy carried by the ion-acoustic (IA) solitons is examined. A Korteweg–de Vries (K–dV) equation is derived. It is found that an increase of the nonextensive parameter q leads to a decrease of the soliton amplitude and width. The soliton...