Abstract
In the present paper, we have studied the influence of light absorption and temperature on self-focusing of finite Airy-Gaussian beams in plasma by considering the combined effects of relativistic and the ponderomotive regime. The nonlinear differential equations of dimensionless beam-width parameter are derived using the paraxial ray and Wentzel-Kramers-Brillouin approximation, and they are solved numerically. The effect of absorption coefficient, plasma electron temperature, relative plasma density, intensity parameter and modulation parameter beam on the self-focusing of finite Airy-Gaussian beams in plasma is presented numerically and discussed.