Derives long-time asymptotics for two-genus KdV soliton gases via Riemann-Hilbert analysis, identifying five regions and relating them to Riemann-Theta functions, with a method for high-genus model problems.
B ERTOLA , Tau functions in integrable systems: theory and applications , 2018
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Genus two KdV soliton gases and their long-time asymptotics
Derives long-time asymptotics for two-genus KdV soliton gases via Riemann-Hilbert analysis, identifying five regions and relating them to Riemann-Theta functions, with a method for high-genus model problems.