Proves LLN and CLT for random N-soliton solutions of fNLS converging to soliton gas ψ_∞ with computed correlations on compact space-time sets.
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2 Pith papers cite this work. Polarity classification is still indexing.
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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.
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Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schr\"odinger equation
Proves LLN and CLT for random N-soliton solutions of fNLS converging to soliton gas ψ_∞ with computed correlations on compact space-time sets.
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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.