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, ss.175-181, 2016 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 6 Konu: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.3934/naco.2016007
  • Dergi Adı: NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION
  • Sayfa Sayıları: ss.175-181

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.