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

S. V. Manakov; P. M. Santini

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arXiv · nlin/0611047

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

S. V. Manakov·P. M. Santini

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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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BibTeX RIS

S. V. Manakov, P. M. Santini. 2006-11-29. A hierarchy of integrable PDEs in 2+1 dimensions associated with 2 - dimensional vector fields. https://arxiv.org/abs/nlin/0611047

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