Study of the Analytical Treatment of the (2+1)-Dimensional Zoomeron, the Duffing and the SRLW Equations via a New Analytical Approach

Manafian J., Lakestanı M., Bekir A.

International Journal of Applied and Computational Mathematics, cilt.2, sa.2, ss.243-268, 2016 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 2 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40819-015-0058-2
  • Dergi Adı: International Journal of Applied and Computational Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.243-268
  • Anahtar Kelimeler: Improved tan (Φ (ξ) / 2) -expansion method, The (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave (SRLW) equations, Traveling wave
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

In this paper, we applied the improved tan (Φ (ξ) / 2) -expansion scheme for the (2+1)-dimensional Zoomeron, the Duffing and the symmetric regularized long wave equations and exact particular solutions have been found. The exact particular solutions containing four types hyperbolic function solution, trigonometric function solution, exponential solution and rational solution. We obtained the further solutions comparing with other methods as sine–cosine function method (Qawasmeh in J Math Comput Sci 3:1475–1480, 2013). Recently this method is developed for searching exact travelling wave solutions of nonlinear partial differential equations. It is shown that this method, with the help of symbolic computation, provide a straightforward and powerful mathematical tool for solving nonlinear partial differential equations.