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Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation

High Energy Physics - Theory 2023-09-01 v2

Abstract

We explicitly obtain the mm-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equation from the known general solution of the matrix Toda chain with fixed ends. We write these solutions in terms of m+mm+m independent solutions of a pair of linear Shr\"odinger equations with Hermitian potentials.

Keywords

Cite

@article{arxiv.hep-th/9612107,
  title  = {Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation},
  author = {Andrei N. Leznov and Emil A. Yuzbashyan},
  journal= {arXiv preprint arXiv:hep-th/9612107},
  year   = {2023}
}

Comments

14 pages, language improved