摘要
By using a standard multiple scale method, a Davey-Stewartson （DS） equation has been derived and also applied to a multi-dimensional analytical investigation on the interaction of an ultra-intense laser pulse with a cold unmagnetized transparent electron-ion plasma. The regions of instability are found by considering the modulation instability of a plane wave solution of the DS equation. The DS equation is just of the Davey Stewartson 1 （DS1） type and admits a dromion solution, i.e. a two-dimensional （2D） dromion soliton decaying exponentially in all spatial directions. A 2D relativistic electromagnetic dromion-like soliton （2D REDLS） is derived for a vector potential.
By using a standard multiple scale method, a Davey-Stewartson （DS） equation has been derived and also applied to a multi-dimensional analytical investigation on the interaction of an ultra-intense laser pulse with a cold unmagnetized transparent electron-ion plasma. The regions of instability are found by considering the modulation instability of a plane wave solution of the DS equation. The DS equation is just of the Davey Stewartson 1 （DS1） type and admits a dromion solution, i.e. a two-dimensional （2D） dromion soliton decaying exponentially in all spatial directions. A 2D relativistic electromagnetic dromion-like soliton （2D REDLS） is derived for a vector potential.
