An explicit formula for the Benjamin-Ono hierarchy is derived, allowing complete classification of traveling wave solutions and a geometric characterization of zero-dispersion limits.
Infinite-order multisoliton solutions to the
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Explicit L^∞ asymptotic error formulas are established for the soliton resolution of the Benjamin-Ono equation in finite- and infinite-order multisoliton regimes.
citing papers explorer
-
An Explicit Formula for the Benjamin-Ono Hierarchy with Applications to Traveling Waves and Zero-Dispersion Limits
An explicit formula for the Benjamin-Ono hierarchy is derived, allowing complete classification of traveling wave solutions and a geometric characterization of zero-dispersion limits.
-
Soliton resolution conjecture for the Benjamin-Ono equation: Explicit $L^\infty$ asymptotic error formula
Explicit L^∞ asymptotic error formulas are established for the soliton resolution of the Benjamin-Ono equation in finite- and infinite-order multisoliton regimes.