Superposition of the coupled NLS and MKdV systems

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GÜRSES M., Pekcan A.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 98
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1016/j.aml.2019.06.002
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.157-163
  • Anahtar Kelimeler: Hirota equations, Superposition of integrable equations, Ablowitz-Musslimani reduction, Hirota bilinear method, Soliton solutions, NONLINEAR SCHRODINGER-EQUATION, INVERSE SCATTERING TRANSFORM, DE-VRIES EQUATION, SOLITON-SOLUTIONS
  • Hacettepe Üniversitesi Adresli: Evet

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.