A procedure to construct exact solutions of nonlinear evolution equations

ÇEVİKEL A. C., Bekir A., AKAR M., SAN S.

PRAMANA-JOURNAL OF PHYSICS, cilt.79, sa.3, ss.337-344, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 79 Sayı: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s12043-012-0326-1
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.337-344
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this paper, we implemented the functional variable method for the exact solutions of the Zakharov-Kuznetsov-modified equal-width (ZK-MEW), the modified Benjamin-Bona-Mahony (mBBM) and the modified KdV-Kadomtsev-Petviashvili (KdV-KP) equations. By using this scheme, we found some exact solutions of the above-mentioned equations. The obtained solutions include solitary wave solutions, periodic wave solutions and combined formal solutions. The functional variable method presents a wider applicability for handling nonlinear wave equations.