A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields
S. V. Manakov, P. M. Santini
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.
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