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, Greece, 22 - 28 September 2014, vol.1648, (Full Text) identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1648
  • Doi Number: 10.1063/1.4912603
  • City: Rhodes
  • Country: Greece
  • Keywords: Elliptic integral function solutions, New function method, The generalized sinh-Gordon equation
  • Uşak University Affiliated: Yes

Abstract

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.