Gurefe, Yusuf; Sonmezoglu, Abdullah; Misirli, Emine Application of an irrational trial equation method to high-dimensional nonlinear evolution equations. (English) Zbl 1253.35027 J. Adv. Math. Stud. 5, No. 1, 41-47 (2012). Summary: An analytic technique, an irrational trial equation method, is applied to solve the \((3+1)\)-dimensional potential-YTSF equation and the \((2+1)\)-dimensional Broer-Kaup-Kupershmidt equations. Using this method, some exact travelling wave solutions to two high-dimensional nonlinear evolution equations are obtained. This method provides us with a new way to obtain series solutions of such problems. Cited in 6 Documents MSC: 35C07 Traveling wave solutions 35P05 General topics in linear spectral theory for PDEs 35Q53 KdV equations (Korteweg-de Vries equations) 35C05 Solutions to PDEs in closed form 35C10 Series solutions to PDEs Keywords:potential-YTSF equation; Broer-Kaup-Kupershmidt equations; exact travelling wave solutions PDFBibTeX XMLCite \textit{Y. Gurefe} et al., J. Adv. Math. Stud. 5, No. 1, 41--47 (2012; Zbl 1253.35027)