Superposition of the coupled NLS and MKdV systems


GÜRSES M., Pekcan A.

APPLIED MATHEMATICS LETTERS, cilt.98, ss.157-163, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 98
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.aml.2019.06.002
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Sayfa Sayıları: ss.157-163

Özet

Superpositions of hierarchies of integrable equations are also integrable. The superposed equations, such as the Hirota equations in the AKNS hierarchy, cannot be considered as new integrable equations. Furthermore if one applies the Hirota bilinear method to these equations one obtains the same N-soliton solutions of the generating equation which differ only by the dispersion relations. Similar discussions can be made for the locally and nonlocally reduced equations as well. We give, as an example, AKNS system of equations in (1 + 1)-dimensions. (C) 2019 Elsevier Ltd. All rights reserved.