Exact Travelling Wave Solutions of the Nonlinear Evolution Equations by Auxiliary Equation Method

Kaplan M., Akbulut A., Bekir A.

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, cilt.70, sa.11, ss.969-974, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 70 Sayı: 11
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1515/zna-2015-0122
  • Dergi Adı: ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.969-974
  • Anahtar Kelimeler: Coupled Higgs Equation, Equal Width Wave (EW) Equation, Exact Solutions, Symbolic Computation, Zoomeron Equation
  • Bursa Uludağ Üniversitesi Adresli: Hayır

Özet

The auxiliary equation method presents wide applicability to handling nonlinear wave equations. In this article, we establish new exact travelling wave solutions of the nonlinear Zoomeron equation, coupled Higgs equation, and equal width wave equation. The travelling wave solutions are expressed by the hyperbolic functions, trigonometric functions, and rational functions. It is shown that the proposed method provides a powerful mathematical tool for solving nonlinear wave equations in mathematical physics and engineering. Throughout the article, all calculations are made with the aid of the Maple packet program.