TY - JOUR
T1 - Travelling wave solutions in the generalized Hirota-Satsuma coupled KdV system
AU - Shen, Jianwei
AU - Xu, Wei
AU - Xu, Yong
PY - 2005/2/15
Y1 - 2005/2/15
N2 - By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.
AB - By using the bifurcation theory of dynamical systems to the generalized HirotaSatsuma coupled KdV system, bifurcation parameter sets are shown. Numbers of solitary waves, kink waves and periodic waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions and periodic wave solutions are listed.
KW - Bifurcation theory
KW - Generalized Hirota-Satsuma coupled system
KW - Kink and anti-kink wave solution
KW - Periodic travelling wave solution
KW - Solitary travelling wave solution
UR - http://www.scopus.com/inward/record.url?scp=10044230744&partnerID=8YFLogxK
U2 - 10.1016/j.amc.2003.12.033
DO - 10.1016/j.amc.2003.12.033
M3 - 文章
AN - SCOPUS:10044230744
SN - 0096-3003
VL - 161
SP - 365
EP - 383
JO - Applied Mathematics and Computation
JF - Applied Mathematics and Computation
IS - 2
ER -