TY - JOUR
T1 - Bifurcations of traveling wave solutions for Zhiber-Shabat equation
AU - Tang, Yaning
AU - Xu, Wei
AU - Shen, Jianwei
AU - Gao, Liang
PY - 2007/7/15
Y1 - 2007/7/15
N2 - In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.
AB - In this paper, we investigate the dynamical behavior of traveling wave solutions in the Zhiber-Shabat equation by using the bifurcation theory and the method of phase portraits analysis. As a result, we obtain the conditions under which smooth and non-smooth traveling wave solutions exist, and give some exact explicit solutions for some special cases.
KW - Bifurcation theory of dynamical systems
KW - The Zhiber-Shabat equation
KW - Traveling wave solutions
UR - https://www.scopus.com/pages/publications/34047260080
U2 - 10.1016/j.na.2006.06.024
DO - 10.1016/j.na.2006.06.024
M3 - 文章
AN - SCOPUS:34047260080
SN - 0362-546X
VL - 67
SP - 648
EP - 656
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 2
ER -