Application of the ITEM for the modified dispersive water-wave system

Lakestanı M., Manafian J.

Optical and Quantum Electronics, cilt.49, sa.4, 2017 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 4
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11082-017-0967-x
  • Dergi Adı: Optical and Quantum Electronics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Analytical solutions, Improved tan(ϕ/2)-expansion method, Modified dispersive water-wave system, Soliton wave solution
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The aim of this paper is to introduce a novel study of obtaining an analytical solutions to the modified dispersive water-wave system. An analytical technique based on the improved tan (ϕ/ 2) -expansion method (ITEM) is extended to handle such a system. Description of the method is given and the obtained results reveal that the ITEM is a new significant method for exploring nonlinear partial differential models. By using this method, exact solutions including the hyperbolic function solution, traveling wave solution, soliton solution, rational function solution, and periodic wave solution of this system of equations have been obtained. Moreover, by using Matlab, some graphical simulations were done to see the behavior of these solutions.