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arxiv: 1401.6777 · v2 · pith:HLLJFMMNnew · submitted 2014-01-27 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords probleminitialequationhilbertriemannsolutionstep-likecamassa
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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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