For the Benjamin-Ono equation, the leading long-time term with x = O(t^{1/2}) is an explicit universal profile obtained from linearizing the self-similar profile equation, for rational initial data with generic reflection coefficient behavior at the origin.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Analyzes transition asymptotics for real solutions of the sinh-Gordon Painlevé III equation, mapping exponential to elliptic to trigonometric regimes via the scaling |p|^2 = 1 + e^{2ϰ x}.
citing papers explorer
-
The Benjamin-Ono Equation in the Long-Time Limit: Linearized Self-Similar Universality
For the Benjamin-Ono equation, the leading long-time term with x = O(t^{1/2}) is an explicit universal profile obtained from linearizing the self-similar profile equation, for rational initial data with generic reflection coefficient behavior at the origin.