In the theory of integrable systems, a peakon ("peaked soliton") is a soliton with discontinuous first derivative; the wave profile is shaped like the...

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the special case that κ is equal to zero, the Camassa–Holm equation has peakon solutions: solitons with a sharp peak, so with a discontinuity at the peak...

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Heartcore) as a general partner, where he invested in companies like Neo4j, PeakOn (acquired by Workday, Inc.), and Seriously (acquired by Playtika). In 2016...

field theory Nonlinear Schrödinger equation Oscillons Pattern formation Peakon, a soliton with a non-differentiable peak Q-ball a non-topological soliton...

solutions of the Degasperis–Procesi equation are smooth; they converge to peakons in the limit as κ {\displaystyle \kappa } tends to zero. The Degasperis–Procesi...

{\displaystyle u_{t}+2\kappa u_{x}-u_{xxt}+3uu_{x}=2u_{x}u_{xx}+uu_{xxx}\,} Peakons Carleman 1+1 u t + u x = v 2 − u 2 = v x − v t {\displaystyle \displaystyle...

solutions in computational anatomy were connected to peaked solitons or peakons as solutions for the Camassa–Holm equation. Subsequently, connections were...

held roles such as Global Director of Diversity, Equity and Inclusion at Peakon Head of Diversity and Inclusion at Monzo and Consulting Inclusion Lead at...

2\pi .\end{cases}}} This has compact support in x, and so is a compacton. Peakon Vector soliton Rosenau, Philip (2005), "What is a compacton?" (PDF), Notices...

phenomenon Graphene Nonlinear Schrödinger equation Nonlinear system Oscillon Peakon, a soliton with a non-differentiable peak Q-ball, a non-topological soliton...

x}}\right)+{\frac {\partial \eta }{\partial x}}=0.} This equation is shown to allow for peakon solutions – as a model for waves of limiting height – as well as the occurrence...

compact support Clapotis Freak waves may be a related phenomenon Oscillon Peakon, a soliton with a non-differentiable peak Q-ball, a non-topological soliton...

Discrete & Cont. Dyn. Sys. 6 (2000), 751-772, with K. Ono. Stability of peakons, Comm. Pure Appl. Math. 53 (2000), 603-610, with A. Constantin. Spectral...

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whose solutions in the dispersionless limit are peaked solitons, so called peakons, published in 1993. In 2005, he moved to Imperial College London as Professor...

(with H. P. McKean), Comm. Pure Appl. Math. 52 949–982. 2000: Stability of peakons (with W. Strauss), Comm. Pure Appl. Math. 53 603–610. 2004: Exact steady...