TY - JOUR
T1 - Bifurcations of traveling wave solutions for a class of the nonlinear equations
AU - Zhao, Xiaoshan
AU - Wang, Mingchun
AU - Xu, Wei
PY - 2008/3/15
Y1 - 2008/3/15
N2 - The dynamical behavior of traveling wave solutions in a class of the nonlinear k(n, n) equations with negative exponents is studied by using the theory of bifurcations of dynamical systems. As a result, the dynamical behavior of different physical structure: solitary patterns, solitons, periodic, kink and anti-kink wave solutions are obtained. When parameters are varied, the conditions under which the above solutions appear are also shown. In addition, some exact explicit solutions are given.
AB - The dynamical behavior of traveling wave solutions in a class of the nonlinear k(n, n) equations with negative exponents is studied by using the theory of bifurcations of dynamical systems. As a result, the dynamical behavior of different physical structure: solitary patterns, solitons, periodic, kink and anti-kink wave solutions are obtained. When parameters are varied, the conditions under which the above solutions appear are also shown. In addition, some exact explicit solutions are given.
KW - Kink and anti-kink wave
KW - Periodic wave
KW - Solitary wave
KW - The bifurcation theory
UR - http://www.scopus.com/inward/record.url?scp=38949158055&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2007.07.053
DO - 10.1016/j.amc.2007.07.053
M3 - 文章
AN - SCOPUS:38949158055
SN - 0096-3003
VL - 197
SP - 228
EP - 242
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -