Abstract
We present new features of 1D bright solitons in the phenomenological propagation modelcombining competing focusing and defocusing nonlinearities with different nonlocal lengths.It has been shown that the interplay between the two nonlocal nonlinearities results in newsoliton properties, including modifications of the soliton stability and variable character ofthe in-phase soliton interaction. In particular, an unstable composite type soliton comes toexist and serves as a transition point distinguishing repulsion from attraction behaviors inthe interactions of two separate solitons. The existence of competing nonlocal nonlinearityin synthetic metamaterials synthesized from materials with different diffusive media may bepossible and has indeed been experimentally confirmed for a strongly temperaturedependent liquid crystal (see Warenghem et al 2008 J. Opt. Soc. Am. B 25 1882–7).
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