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

Abstract

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.

12 pages. To be published in Theoretical Mathematical Physics

References in corpus (1)

• Inverse Scattering Problem for Vector Fields and the Cauchy Problem for the Heavenly Equation

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