Dissimilar types of joined propagation of two beams in a holographic medium

Herein, we report the formation criteria for the spatial soliton pairs, rhythmic breather pairs (RBP), non-rhythmic breather pairs (NRBP), soliton-rhythmic breather pairs, and rhythmic breather-soliton pairs by two 2-D copropagating beams of light in a holographic medium (HM), where the beams are fully governed by the cross-action effect in absence of the self-action effect. The coupled propagation of the beams is shown by plotting an existence line in the P-Q graph. Any point on the existence line provides one holographic soliton pair corresponding to the same beam widths and holographic RBP for different beam widths. On the other hand, the points away from the existence line lead to the formation of RBP/NRBP for the same beam widths and NRBP for different beam widths.