An application of the new function method to the generalized double sinh-Gordon equation
International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014, Rhodes, Yunanistan, 22 - 28 Eylül 2014, cilt.1648, (Tam Metin Bildiri)
- 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.