Parand, Kourosh; Rad, Jamal Amani; Rezaei, Alireza Application of exp-function method for a class of nonlinear PDE’s arising in mathematical physics. (English) Zbl 1237.65106 J. Appl. Math. Inform. 29, No. 3-4, 763-779 (2011). Summary: We apply the exp-function method to obtain traveling wave solutions of three nonlinear partial differential equations (PDEs) namely, generalized sinh-Gordon equation, generalized form of the famous sinh-Gordon equation, and double combined sinh-cosh-Gordon equation. These equations play a very important role in mathematical physics and engineering sciences. The exp-function method changes the problem from solving nonlinear PDEs to solving an ordinary differential equation. Mainly we try to present an application of exp-function method taking to consideration rectifying a commonly occurring errors during some of recent works. Cited in 3 Documents MSC: 65M22 Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs 35Q35 PDEs in connection with fluid mechanics Keywords:traveling wave solutions; exp-function method; generalized sinh-Gordon equation; generalized famous sinh-Gordon equations; double combined sinh-cosh-Gordon equation PDFBibTeX XMLCite \textit{K. Parand} et al., J. Appl. Math. Inform. 29, No. 3--4, 763--779 (2011; Zbl 1237.65106)