Previous research demonstrated that two-soliton interactions can lead to nonreciprocal soliton amplification, a mechanism that can accumulate energy for rogue wave formation as soliton interactions increase. The question arises whether three or more soliton collisions can lead to amplification or chaotic behavior, akin to the three-body problem in particle physics. Through experiments and simulations using a photorefractive potassium-lithium-tantalate-niobate (KTN:Li) crystal, our study explores multiple soliton collisions with strong nonreciprocal energy exchange. Chaotic dynamics and intense wave formation are observed after a collinear three-soliton collision. However, when an additional dimension without broken inversion symmetry is introduced, the solitons consistently fuse into an intense wave instead of exhibiting chaos. This insight highlights the role of dimensionality and nonreciprocal energy exchange in determining soliton behavior and rogue wave formation. The study underscores the analogy between solitons and particles, linking chaotic behavior in three-body physics to the emergence of rogue waves.
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