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, ss.337-344, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 79 Konu: 3
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s12043-012-0326-1
  • Dergi Adı: PRAMANA-JOURNAL OF PHYSICS
  • Sayfa Sayıları: ss.337-344

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.