English

Backlund transformations for the Nizhnik-Novikov-Veselov equation

Exactly Solvable and Integrable Systems 2012-11-09 v1

Abstract

The Backlund transformations for the Nizhnik-Novikov-Veselov equation are presented. It is shown that these transformations can be iterated and that the resulting sequence can be described by the Volterra equations. The relationships between the Nizhnik-Novikov-Veselov equation and the Volterra hierarchy are discussed.

Keywords

Cite

@article{arxiv.nlin/0404040,
  title  = {Backlund transformations for the Nizhnik-Novikov-Veselov equation},
  author = {V. E. Vekslerchik},
  journal= {arXiv preprint arXiv:nlin/0404040},
  year   = {2012}
}

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13 pages