English

Multidimensional linearizable system of $n$-wave type equations

Exactly Solvable and Integrable Systems 2017-03-08 v1

Abstract

A linearizable version of multidimensional system of nn-wave type nonlinear PDEs is proposed. This system is derived using the spectral representation of its solution via the procedure similar to the dressing method for the ISTM-integrable nonlinear PDEs. The proposed system is shown to be completely integrable, particular solution is represented.

Keywords

Cite

@article{arxiv.1610.08211,
  title  = {Multidimensional linearizable system of $n$-wave type equations},
  author = {A. I. Zenchuk},
  journal= {arXiv preprint arXiv:1610.08211},
  year   = {2017}
}

Comments

9 pages, 1 figure

R2 v1 2026-06-22T16:32:07.963Z