1 citations · 1 across the 1 of their papers we have counts for
3 papers
math-ph2005★ 1 cited
Modulation of Camassa--Holm equation and reciprocal transformations
Simonetta Abenda, Tamara Grava
We derive the modulation equations or Whitham equations for the Camassa--Holm (CH) equation. We show that the modulation equations are hyperbolic and admit bi-Hamiltonian structure…
nlin.SI2001
Riemann-Hilbert problem for the small dispersion limit of the KdV equation and linear overdetermined systems of Euler-Poisson-Darboux type
T. Grava
We study the Cauchy problem for the Korteweg de Vries (KdV) equation with small dispersion and with monotonically increasing initial data using the Riemann-Hilbert (RH) approach. T…
nlin.SI2000
From the solution of the Tsarev system to the solution of the Whitham equations
T. Grava
We study the Cauchy problem for the Whitham modulation equations for monotone increasing smooth initial data. The Whitham equations are a collection of one-dimensional quasi-linear…