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Fourier form of the dressing method: simple example of integrable (2+1)-dimensional integral-differential equation

Exactly Solvable and Integrable Systems 2016-09-08 v1

Abstract

We represent the Fourier form of the dressing method, which is effective for construction of multidimensional integral-differential equations together with their solutions. Example of integrable (but non-physical) expansion of Intermediate Long Wave equation in (2+1)-dimensions is considered.

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Cite

@article{arxiv.nlin/0309073,
  title  = {Fourier form of the dressing method: simple example of integrable (2+1)-dimensional integral-differential equation},
  author = {A. I. Zenchuk},
  journal= {arXiv preprint arXiv:nlin/0309073},
  year   = {2016}
}

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7 pages