TY - JOUR
T1 - Bifurcations of travelling wave solutions in a model of the hydrogen-bonded systems
AU - Shen, Jianwei
AU - Li, Jibin
AU - Xu, Wei
PY - 2005/12/1
Y1 - 2005/12/1
N2 - By using the theory of bifucations of dynamical systems to a model of the Hydrogen-bonded systems, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. In some simple parametric conditions, exact explicit and implicit solution formulas are listed.
AB - By using the theory of bifucations of dynamical systems to a model of the Hydrogen-bonded systems, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. In some simple parametric conditions, exact explicit and implicit solution formulas are listed.
KW - Kink and anti-kink wave solutions
KW - Periodic travelling wave solution
KW - Smoothness of waves
KW - Solitary travelling wave solution
UR - http://www.scopus.com/inward/record.url?scp=28444466198&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2005.01.058
DO - 10.1016/j.amc.2005.01.058
M3 - 文章
AN - SCOPUS:28444466198
SN - 0096-3003
VL - 171
SP - 242
EP - 271
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 1
ER -