Abstract
Stationary solitary electromagnetic waves generated in ultraintense relativistic laser-plasma interactions are studied numerically. For one-dimensional stationary propagation with circular polarization, subcycle solitary waves moving with finite velocity are obtained for a given value of wave velocity and nonlinear frequency shift, and it is shown that the solitary-wave amplitude increases for the larger nonlinear frequency shift. A new type of solitary-wave solution, a paired solution of positive and negative solitary waves, is also shown.