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The collision dynamics of two solitonlike localized excitations in a nonintegrable discrete $(1+1)$-dimensional nonlinear Schr\"odinger system is studied numerically. It is demonstrated that the collision dynamics exhibits a complicated resonance structure of interlacing bound-state regions and escape regions of localized excitations with a sensitive dependence on the incoming energies of the localized excitations. We emphasize that this resonance is a combined effect of discreteness and nonintegrability of the system and contrast it with topological kink-antikink collisions in φ⁴ and related systems.
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Cai et al. (1997) studied this question.
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