Riemann--Hilbert problem for Camassa--Holm equation with step-like initial data

preprint2014arXivOpen access

Abstract

The Cauchy problem for the Camassa -- Holm equation with step-like initial conditions is reformulated as a Riemann -- Hilbert problem. The the initial value problem solution is obtained then in a parametric form from the Riemann -- Hilbert problem solution.

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