The scattering approach for the Camassa-Holm equation

2003/06/12 by Jonatan Lenells
Physics and Astronomy · #nlin.SI

paper · pdf

published as J. Nonlinear Math. Phys., volume 9, no.4 (2002) 389-393

arxiv created 2003/06/12 · arxiv updated 2009/11/30

Abstract

We present an approach proving the integrability of the Camassa--Holm equation for initial data of small amplitude.

Related

• On the inverse scattering approach to the Camassa-Holm equation
• Inverse Scattering Transform for the Camassa-Holm equation
• Long-time asymptotic solution structure of Camassa-Holm equation subject to an initial condition with non-zero reflection coefficient of the scattering data
• Riemann--Hilbert problem for Camassa--Holm equation with step-like initial data
• On the global existence for the modified Camassa-Holm equation via the inverse scattering method