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arxiv: 1301.4075 · v1 · pith:6ALA7VMRnew · submitted 2013-01-17 · 🌊 nlin.SI · math-ph· math.MP

Integrable Hierarchy of Multi-Component Kaup -Boussinesq Equations

classification 🌊 nlin.SI math-phmath.MP
keywords equationskaup-boussinesqmulti-componenthierarchyintegrableapproachboussinesqdegenerate
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By using the Lax approach we find the integrable hierarchy of the two and three field Kaup-Boussinesq equations. We then give a multi-component Kaup-Boussinesq equations and their recursion operators. Finally we show that all multi-component Kaup-Boussinesq equations are the degenerate Svinolupov KdV systems.

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