The (G '/G)-expansion method for the nonlinear lattice equations

Ayhan, Burcu; Bekir, Ahmet

doi:10.1016/j.cnsns.2012.01.009

The (G '/G)-expansion method for the nonlinear lattice equations

Atıf İçin Kopyala

Ayhan B., Bekir A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.17, sa.9, ss.3490-3498, 2012 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 17 Sayı: 9
Basım Tarihi: 2012
Doi Numarası: 10.1016/j.cnsns.2012.01.009
Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.3490-3498
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we extended the (G'/G)-expansion method to three well-known nonlinear lattice equations. With the aid of symbolic computation, we choose nonlinear lattice equations to illustrate the validity and advantages of the algorithm. This method could give many kinds of exact solutions including soliton solutions expressed by hyperbolic functions and periodic solutions expressed by trigonometric functions in a uniform way if solutions of these kinds exist. It is shown that the proposed algorithm is effective and can be used for many other nonlinear lattice equations in mathematical physics and applied mathematics. (C) 2012 Elsevier B.V. All rights reserved.