Propagation of electron acoustic solitary waves is studied in magnetized plasmas consisting of hot and cold electrons and stationary ions in the presence of varying magnetic field. We show that a space dependent magnetic field adds a dissipative term in the wave equation of motion without presenting known dissipation sources. Localized waves propagating in such space dependent magnetic field are governed by the modified KdVBurgers equation. The numerical results show that, this phenomenon leads to the formation of oscillatory backward moving shock waves in the plasma. Characters of shock profile, according to the plasma parameters are discussed.

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