TY - JOUR
T1 - A Generalized (<em>G'</em>/<em>G</em>)-expansion Method to Find the Traveling Wave Solutions of Nonlinear Evolution Equations
AU - Khaled A. Gepreel 
JO - Journal of Partial Differential Equations
VL - 1
SP - 55
EP - 69
PY - 2011
DA - 2011/02
SN - 24
DO - http://doi.org/10.4208/jpde.v24.n1.4
UR - https://global-sci.org/intro/article_detail/jpde/5197.html
KW - A generalized (G'⁄ G)-expansion method
KW - traveling wave solutions
KW - the modified Kawahara equation
KW - the coupled KdV equations
KW - the classical Boussinesq equations
KW - the Jacobi elliptic functions
AB - <p>In this article, we construct the exact traveling wave solutions for nonlinear evolution equations in the mathematical physics via the modified Kawahara equation, the nonlinear coupled KdV equations and the classical Boussinesq equations, by using a generalized (G&#39;/G)-expansion method, where G satisfies the Jacobi elliptic equation. Many exact solutions in terms of Jacobi elliptic functions are obtained.</p>