Dynamics of combined soliton solutions of unstable nonlinear Schrodinger equation with new version of the trial equation method

PANDIR Y., Ekin A.

CHINESE JOURNAL OF PHYSICS, cilt.67, ss.534-543, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 67
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/j.cjph.2020.08.013
  • Dergi Adı: CHINESE JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
  • Sayfa Sayıları: ss.534-543
  • Anahtar Kelimeler: Unstable nonlinear schrodinger equation, Trial equation method, New version, New exact solutions, TRAVELING-WAVE SOLUTIONS, ELLIPTIC FUNCTION EXPANSION, F-EXPANSION, EVOLUTION-EQUATIONS, KDV EQUATIONS, TANH METHOD
  • Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this article, a new version of the trial equation method is suggested. With this method, it is possible to find the new exact solutions of the nonlinear partial differential equations. The developed method is applied to unstable nonlinear Schrodinger equation. New exact solutions are expressed with Jacobi elliptic function solutions, 1-soliton solutions and rational function solutions. When the obtained results are examined, we can say the unstable nonlinear Schrodinger equation shows different dynamic behaviors. In addition, the physical behaviors of these new exact solution are given with two and three dimensional graphs.