On the exact solutions of nonlinear evolution equations by the improved tan(phi/2)-expansion method

SAĞLAM ÖZKAN Y., YAŞAR E.

PRAMANA-JOURNAL OF PHYSICS, cilt.94, sa.1, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 94 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s12043-019-1883-3
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: Improved tan(phi/2)-expansion method, generalised Hirota-Satsuma coupled KdV equation, (2+1)-dimensional Nizhnik-Novikov-Veselov system, TRAVELING-WAVE SOLUTIONS, COUPLED KDV EQUATION, EXPANSION METHOD, (G'/G)-EXPANSION METHOD, COHERENT STRUCTURES, PERIODIC-SOLUTIONS, SOLITON-SOLUTIONS, MKDV
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In this paper, the improved tan(phi/2)-expansion method (ITEM) is proposed to obtain more general exact solutions of the nonlinear evolution equations (NLEEs). This method is applied to the generalised Hirota-Satsuma coupled KdV (HScKdV) equation and (2+1)-dimensional Nizhnik-Novikov-Veselov (NNV) system. We have obtained four types of solutions of these equations such as hyperbolic, trigonometric, exponential and rational functions as an advantage of this method. These solutions include solitons, rational, periodic and kink solutions. Moreover, modulation instability is used to establish stability of the obtained solutions.