Showing 1–20 of 55 results
/ Date/ Name
Feb 17, 2010On the zero-dispersion limit of the Benjamin-Ono Cauchy problem for positive initial dataJan 4, 2011The Benjamin-Ono Hierarchy with Asymptotically Reflectionless Initial Data in the Zero-Dispersion LimitSep 14, 2012Graphical Krein Signature Theory and Evans-Krein FunctionsJun 1, 2018Extreme Superposition: Rogue Waves of Infinite Order and the Painlevé-III HierarchyFeb 27, 2021Extreme Superposition: High-Order Fundamental Rogue Waves in the Far-Field RegimeMay 22, 2021On the Maxwell-Bloch System in the Sharp-Line Limit Without SolitonsAug 3, 2017The diffusion equation with nonlocal dataAug 1, 2005The N-soliton of the focusing nonlinear Schroedinger equation for N largeNov 4, 2011On the modified nonlinear Schrödinger equation in the semiclassical limit: supersonic, subsonic, and transsonic behaviorJan 13, 2018Rational Solutions of the Painlevé-III EquationAug 10, 2024General rogue waves of infinite order: Exact properties, asymptotic behavior, and effective numerical computationMay 11, 2015The scattering transform for the Benjamin-Ono equation in the small-dispersion limitJul 31, 2025Infinite-order rogue waves that are small (but not small in $L^2$)Jan 15, 2026A proof of the soliton resolution conjecture for the Benjamin--Ono equationAug 7, 2012The semiclassical modified nonlinear Schrödinger equation II: asymptotic analysis of the Cauchy problem. The elliptic region for transsonic initial dataJun 28, 2011The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrixDec 4, 2013Spectral and Modulational Stability of Periodic Wavetrains for the Nonlinear Klein-Gordon EquationJun 2, 2014Large-degree asymptotics of rational Painleve-II functions. IISep 4, 2018Dispersive Asymptotics for Linear and Integrable Equations by the $\overline{\partial}$ Steepest Descent MethodDec 19, 2019Universality near the gradient catastrophe point in the semiclassical sine-Gordon equation