TY - JOUR
T1 - Travelling wave solutions for a class of the generalized Benjamin-Bona-Mahoney equations
AU - Zhao, Xiaoshan
AU - Xu, Wei
PY - 2007/9/15
Y1 - 2007/9/15
N2 - In this paper, a class of the generalized Benjamin-Bona-Mahony (GBBM) equations with negative exponents are investigated by using the theory of bifurcations of dynamical systems. As a result, the dynamical behavior of different physical structure: solitary patterns, solitons, perodic, kink and anti-kink wave solutions are obtained. When parameters are varied, under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given and some exact solutions are shown.
AB - In this paper, a class of the generalized Benjamin-Bona-Mahony (GBBM) equations with negative exponents are investigated by using the theory of bifurcations of dynamical systems. As a result, the dynamical behavior of different physical structure: solitary patterns, solitons, perodic, kink and anti-kink wave solutions are obtained. When parameters are varied, under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given and some exact solutions are shown.
KW - Bifurcation theory
KW - Kink and anti-kink wave
KW - Periodic wave
KW - Solitary wave
KW - The generalized Benjamin-Bona-Mahony equation
UR - https://www.scopus.com/pages/publications/34548859513
U2 - 10.1016/j.amc.2007.03.024
DO - 10.1016/j.amc.2007.03.024
M3 - 文章
AN - SCOPUS:34548859513
SN - 0096-3003
VL - 192
SP - 507
EP - 519
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -