This paper investigates the optimization of laser-driven electron acceleration using sinh-squared-Gaussian (SSG) pulses. The authors analyze the wake potential, wakefield, and electron energy gain under various laser and plasma parameters. They find that these quantities are directly proportional to the square of the laser field amplitude. Increasing plasma density leads to damped oscillatory changes in energy gain. The study also examines the impact of pulse length and SSG parameters on energy gain, determining optimal values that yield a maximum energy gain of 1.7 GeV. The findings will assist researchers in selecting the most suitable pulse profile for energy-efficient electron acceleration. The introduction reviews the importance of particle acceleration in scientific domains and the role of laser wakefield acceleration (LWFA) in electron acceleration. The analytical study of LWFA includes the derivation of key equations and the presentation of results through plots, with conclusions drawn in the final section.This paper investigates the optimization of laser-driven electron acceleration using sinh-squared-Gaussian (SSG) pulses. The authors analyze the wake potential, wakefield, and electron energy gain under various laser and plasma parameters. They find that these quantities are directly proportional to the square of the laser field amplitude. Increasing plasma density leads to damped oscillatory changes in energy gain. The study also examines the impact of pulse length and SSG parameters on energy gain, determining optimal values that yield a maximum energy gain of 1.7 GeV. The findings will assist researchers in selecting the most suitable pulse profile for energy-efficient electron acceleration. The introduction reviews the importance of particle acceleration in scientific domains and the role of laser wakefield acceleration (LWFA) in electron acceleration. The analytical study of LWFA includes the derivation of key equations and the presentation of results through plots, with conclusions drawn in the final section.