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Optical pulse with time-space asymmetry in saturable self-focusing Kerr medium

The problem of propagation of (2 + 1) dimensional optical pulse with time-space asymmetry in a saturable Kerr medium is discussed. That pseudo-momentum and energy of the optical pulse keep conservative along propagation is obtained by using variational method. The impacts of initial asymmetry, saturable strength and coupling strength on pulse width, beam width are studied by using numerical method.