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
A Riemann–Hilbert approach to asymptotic problems aris- ing in the theory of random matrix models, and also in the theory of integrable statistical mechanics
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
nlin.SI 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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