Multi-Soliton scattering of the Anti-Self-Dual Yang-Mills Equations in 4-dimensional split signature

Shan-Chi Huang

Multi-Soliton scattering of the Anti-Self-Dual Yang-Mills Equations in 4-dimensional split signature

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arxiv 2201.13318 v1 pith:3MMVA4H7 submitted 2022-01-31 hep-th math-phmath.MPnlin.PSnlin.SI

Multi-Soliton scattering of the Anti-Self-Dual Yang-Mills Equations in 4-dimensional split signature

Shan-Chi Huang This is my paper

classification hep-th math-phmath.MPnlin.PSnlin.SI

keywords solitonwallsmathrmsignaturesplitanti-self-dualasdymasymptotic

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We construct the ASDYM 1-solitons and multi-solitons for split signature and interpret them as soliton walls. We show that the gauge group is $\mathrm{G=SU(2)}$ for the entire intersecting soliton walls, and $\mathrm{SU(3)}$ for each soliton walls in the asymptotic region. This is joint research partially with Masashi Hamanaka, Claire R. Gilson, and Jonathan Nimmo.

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Asymptotic Equivalence Between Quasi-Grammian and Quasi-Wronskian $N$-Soliton Solutions of the Anti-Self-Dual Yang-Mills Equation
nlin.SI 2026-07 conditional novelty 6.0

Quasi-Grammian and quasi-Wronskian N-soliton solutions of the ASDYM/Yang equation are asymptotically equivalent up to a constant matrix factor, with explicit N-soliton phase shifts.