Title of article :
Bifurcations and parametric representations of traveling wave solutions for the Green{Naghdi equations
Author/Authors :
TANG, Shengqiang Guilin University of Electronic Technology - School of Mathematics and Computing Science, China , ZENG, Libing Guilin University of Electronic Technology - School of Mathematics and Computing Science, China , FENG, Dahe Guilin University of Electronic Technology - School of Mathematics and Computing Science, China
Abstract :
By using the bifurcation theory of dynamical systems to study the dynamical behavior of the Green{Naghdi equations, the existence of solitary wave solutions along with smooth periodic traveling wave solutions is obtained. Under different regions of parametric spaces, various sufficient conditions to guarantee the existence of the above solutions are given. Some exact and explicit parametric representations of traveling wave solutions are constructed.
Keywords :
Green{Naghdi equations , bifurcation theory of dynamical systems , bifurcation curves , solitary waves , periodic waves
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
