  The small amplitude ion-acoustic solitary waves in the magneto-rotating
plasma consisting of cold fluid ions, hot positrons, and the two-temperature
electrons (cold and hot electrons) are investigated when the electrons obey a
modified Cairns-Tsallis distribution. By using the reductive perturbation
method, we derive the Korteweg-de Vries equation and the modified Korteweg-de
Vries equation and obtain the small amplitude ion-acoustic solitary wave
solutions. The dependences of solitary wave solutions on the nonextensive
q-parameter, the nonthermal alpha-parameter and the plasma physical quantities
are analyzed numerically. We show the significant effects of the nonextensive
q-parameter and the nonthermal alpha-parameter etc. on the ion-acoustic
solitary waves.
