The enhanced electron heating by electron plasma wave assisted beat wave of Hermite cosh-Gaussian and cosh-Gaussian laser beams is theoretically investigated in magnetized collisional plasma with density rippled. The nonlinear interactions of two slightly difference frequencies of laser beams produce the generation of beat wave at frequency (omega ={omega }_{1}-{omega }_{2}) and wavenumber (k={k}_{1}-{k}_{2}). The beating of this wave with density ripple plasma causes the generation of a strong nonlinear ponderomotive force on the plasma electrons and couples the large amplitude electron plasma wave. An analytic formalism of anomalous electron heating rate is derived. The effect of external magnetic field and field optimization properties of two laser beams on electron heating rate is investigated. The Landau damping predominated for immense excitation of electron plasma waves and thus lead to anomalous electron heating rate. As the lasers beat wave frequency approaches near the electron plasma, the resonant electron heating rate is observed. By varying the various interacting medium parameters (amplitude of density ripple and collisional frequency) and laser parameters (Hermite polynomial mode index, beam decentered parameter, initial beam width of each laser, and lasers beat wave frequency), the heating rate can be tuned and optimized. This effective electron heating rate can have possible applications in plasma fusion devices and targets normal sheath acceleration.
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