English

Generalized hierarchy of matrix Burgers type and $n$-wave equations

Exactly Solvable and Integrable Systems 2007-05-23 v1

Abstract

This article concerns the dressing method for solving of multidimensional nonlinear Partial Differential Equations. In particular, we join hierarchy of matrix Burgers type equation with hierarchies of equations integrable by the Inverse Spectral Transform (IST). Example of resonance interaction of wave packets in (3+1)-dimensions is given.

Keywords

Cite

@article{arxiv.nlin/0306010,
  title  = {Generalized hierarchy of matrix Burgers type and $n$-wave equations},
  author = {A. I. Zenchuk},
  journal= {arXiv preprint arXiv:nlin/0306010},
  year   = {2007}
}

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7 pages