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arxiv: nlin/0611047 · v2 · submitted 2006-11-24 · 🌊 nlin.SI

A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields

classification 🌊 nlin.SI
keywords fieldsvectorassociateddimensionaldimensionshierarchyintegrablepdes
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We introduce a hierarchy of integrable PDEs in 2+1 dimensions arising from the commutation of 2-dimensional vector fields. We also solve the associated Cauchy problems, using the recently developed Inverse Scattering Transform for 1-parameter families of multidimensional vector fields.

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