A Family of Exact Travelling Wave Solutions of (2+1)-dimensional KdV4 Equation

Ayhan B., Bekir A., Ozer M. N.

11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences (ICNPAA), La Rochelle, Fransa, 4 - 08 Temmuz 2016, cilt.1798, (Tam Metin Bildiri) identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1798
  • Doi Numarası: 10.1063/1.4972601
  • Basıldığı Şehir: La Rochelle
  • Basıldığı Ülke: Fransa
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

Nonlinear evolution equations have a wide range of applications in science and engineering. In recent years many powerful methods to construct exact solutions of nonlinear evolution equations. In this paper we present (1/G') expansion method, extended simplest equation method (SEM) and the modification of the truncated expansion (MTEM) method for (2 + 1) dimensional KdV4 equation to establish new exact solutions. So periodic and hyperbolic function solutions are obtained for this equation. The e ffi ciency of the these methods for finding travelling wave solutions of the high order nonlinear evolution equations is demonstrated.