English

Hirota bilinear forms of the AKNS($N$) systems

Exactly Solvable and Integrable Systems 2020-01-31 v1

Abstract

We study the AKNS(NN) hierarchy for N=3,4,5,6N=3,4,5,6. We give the Hirota bilinear forms of these systems and present local and nonlocal reductions of them. We give the Hirota bilinear forms of the reduced equations. The compatibility of the commutativity diagrams of the application of the recursion operator, reductions of the AKNS(NN) systems, and Hirota bilinearization is also studied.

Keywords

Cite

@article{arxiv.2001.11391,
  title  = {Hirota bilinear forms of the AKNS($N$) systems},
  author = {Metin Gürses and Aslı Pekcan},
  journal= {arXiv preprint arXiv:2001.11391},
  year   = {2020}
}

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30 pages