A generalization of (G '/G)-expansion method and its application to nonlinear reaction-diffusion equations arising in mathematical biology

Jabbari, A.; Heris, J.; Kheiri, H.; Bekir, A.

doi:10.1142/s1793524514500259

A generalization of (G '/G)-expansion method and its application to nonlinear reaction-diffusion equations arising in mathematical biology

Atıf İçin Kopyala

Jabbari A., Heris J. M., Kheiri H., Bekir A.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, cilt.7, sa.3, 2014 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 7 Sayı: 3
Basım Tarihi: 2014
Doi Numarası: 10.1142/s1793524514500259
Dergi Adı: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, by introducing a proper transformation, the (G'/G)-expansion method is further extended into the nonlinear reaction-diffusion equations in mathematical biology whose balancing numbers may be negative integer. As a result, hyperbolic function solutions and trigonometric function solutions with free parameters are obtained. When the parameters are taken as special values the solitary wave solutions and the periodic wave solutions are also derived from the traveling wave solutions. Moreover, it is observed that the suggested techniques is compatible of such problems.