Applications of a new expansion method for finding wave solutions of nonlinear differential equations

Duran S., KAYA D.

World Applied Sciences Journal, cilt.18, sa.11, ss.1582-1592, 2012 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 11
  • Basım Tarihi: 2012
  • Doi Numarası: 10.5829/idosi.wasj.2012.18.11.1507
  • Dergi Adı: World Applied Sciences Journal
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.1582-1592
  • Anahtar Kelimeler: A new expansion method, Burgers equation, Kudryashov method, System of the shallow water wave equation, Travelling wave solution
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

In this paper, we presented a new expansion method constructed by taking inspiration for the Kudryashov method. Bernoulli equation was chosen in the form of F' = FB n-AF and made some expansions on the auxiliary Bernoulli equation which used in this method. In this auxiliary Bernoulli equation, by taking n = 3, some wave solutions obtained from Burgers equation and the shallow water wave equation system. As a result, for special values, we concludedthree dimensional wave views for solutions of Burgers Equation and the shallow water wave equation system.To sum up, it is considered that this method can be applied to other nonlinear evolution equations in mathematics physics. © IDOSI Publications, 2012.