ON GENERAL FORM OF THE TANH METHOD AND ITS APPLICATION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS


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Hamidoglu A.

NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, cilt.6, sa.2, ss.175-181, 2016 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 6 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3934/naco.2016007
  • Dergi Adı: NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.175-181
  • Anahtar Kelimeler: Tanh method, nonlinear partial differential equations, exact solutions, nonlinear travelling waves, SOLITARY WAVE SOLUTIONS, EVOLUTION, TOOL
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

The tanh method is used to compute travelling waves solutions of one-dimensional nonlinear wave and evolution equations. The technique is based on seeking travelling wave solutions in the form of a finite series in tanh. In this article, we introduce a new general form of tanh transformation and solve well-known nonlinear partial differential equations in which tanh method becomes weaker in the sense of obtaining general form of solutions.