Özis, Turgut; Aslan, İmail Symbolic computations and exact and explicit solutions of some nonlinear evolution equations in mathematical physics. (English) Zbl 1181.35247 Commun. Theor. Phys. 51, No. 4, 577-580 (2009). Summary: With the aid of symbolic computation system Mathematica, several explicit solutions for Fisher’s equation and CKdV equation are constructed by utilizing an auxiliary equation method, the so called \(G'/G\)-expansion method, where the new and more general forms of solutions are also constructed. When the parameters are taken as special values, the previously known solutions are recovered. Cited in 24 Documents MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35C07 Traveling wave solutions 35A24 Methods of ordinary differential equations applied to PDEs 35-04 Software, source code, etc. for problems pertaining to partial differential equations Keywords:auxiliary equation method; \(G'/G\)-expansion method; traveling wave solutions; Fisher equation; CKdV equation; exact solution Software:Mathematica PDFBibTeX XMLCite \textit{T. Özis} and \textit{İ. Aslan}, Commun. Theor. Phys. 51, No. 4, 577--580 (2009; Zbl 1181.35247) Full Text: DOI