Localized stem structures in soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system

2025/01/20 by Yuan, Feng, He, Jingsong, Cheng, Yi
#FOS: Physical sciences #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS)

paper · doi:10.48550/arxiv.2501.11285

Abstract

The reconnection processes of 3-solitons with 2-resonance can produce distinct local structures that initially connect two pairs of V-shaped branches, then disappear, and later re-emerge as new forms. We call such local structures as stem structures. In this paper, we investigate the variable-length stem structures during the soliton reconnection of the asymmetric Nizhnik-Novikov-Veselov system. We consider two scenarios: weak 2-resonances (i.e., a₁₂=a₁₃=0, 0

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