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arxiv: 1401.3082 · v3 · pith:XO45HXZOnew · submitted 2014-01-14 · 🧮 math.AP

Global existence for the two-component Camassa-Holm system and the modified two-component Camassa-Holm system

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keywords two-componentcamassa-holmsystemexistenceglobalmodifiedsystemsconcerned
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The present work is mainly concerned with global existence for the two-component Camassa-Holm system and the modified two-component Camassa-Holm system. By discovering new conservative quantities of these systems, we prove several new global existence results for these two-component shallow water systems.

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