An application of the new function method to the generalized double sinh-Gordon equation

Bulut H., Akturk T., Gurefe Y.

International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1648
  • Doi Numarası: 10.1063/1.4912603
  • Basıldığı Şehir: Rhodes
  • Basıldığı Ülke: Yunanistan
  • Anahtar Kelimeler: Elliptic integral function solutions, New function method, The generalized sinh-Gordon equation
  • Uşak Üniversitesi Adresli: Evet

Özet

This paper applies a new approach including the trial equation u′=f(cosh?(nu)) based on the hyperbolic function cosh in order to find new traveling wave solutions to the generalized sinh-Gordon equation. By the using of this method, we obtain a new elliptic integral function solution. Also, this solution can be converted into Jacobi elliptic function solution by a simple transformation.