A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
Abstract
Description
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
12 pages. To be published in Theoretical Mathematical Physics