The soliton gas asymptotes to a constant-coefficient finite-gap elliptic solution as x → −∞; for t → +∞ under the assumption that endpoint F lies on the H(ξ) trajectory for ξ in (−E1−√2 E2, −E1), it shows exponentially decaying, modulated elliptic-wave, and unmodulated elliptic-wave regions in ξ = x
Rigorous asymptotics of a KdV soliton gas
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Large-space and Large-time Asymptotics for the Focusing Nonlinear Schr\"{o}dinger Soliton Gas
The soliton gas asymptotes to a constant-coefficient finite-gap elliptic solution as x → −∞; for t → +∞ under the assumption that endpoint F lies on the H(ξ) trajectory for ξ in (−E1−√2 E2, −E1), it shows exponentially decaying, modulated elliptic-wave, and unmodulated elliptic-wave regions in ξ = x