T. Grava

activity

19972026

most citedUniversality of the break-up profile for the KdV equation in the small dispersion limit using the Riemann-Hilbert approach

82 citations · 523 across the 45 of their papers we have counts for

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Showing 2009Show all

2 papers · 1 filter

math-ph2009

Solitonic asymptotics for the Korteweg-de Vries equation in the small dispersion limit

T. Claeys, T. Grava

We study the small dispersion limit for the Korteweg-de Vries (KdV) equation $u_{t} + 6 u u_{x} + ε^{2} u_{xxx} = 0$ in a critical scaling regime where $x$ approaches the trailing edge of the r…

math-ph2009

Numerical Solution of the Small Dispersion Limit of the Camassa-Holm and Whitham Equations and Multiscale Expansions

S. Abenda, T. Grava, C. Klein

The small dispersion limit of solutions to the Camassa-Holm (CH) equation is characterized by the appearance of a zone of rapid modulated oscillations. An asymptotic description of…