TY - JOUR
T1 - Exact traveling wave solutions and their bifurcations for the kudryashovsinelshchikov equation
AU - Li, Jibin
AU - Chen, Guanrong
PY - 2012/5
Y1 - 2012/5
N2 - By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the KudryashovSinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions are derived. The dynamics of singular nonlinear traveling system is completely determined. © 2012 World Scientific Publishing Company.
AB - By using the approach of dynamical systems, the bifurcations of phase portraits for the traveling system of the KudryashovSinelshchikov equation with ν = δ = 0 are studied, in different parametric regions of (α, c)-parametric plane. Corresponding to different phase orbits of the traveling system, more than 26 exact explicit traveling wave solutions are derived. The dynamics of singular nonlinear traveling system is completely determined. © 2012 World Scientific Publishing Company.
KW - breaking loop solution
KW - KudryashovSinelshchikov equation
KW - peakon
KW - periodic cusp wave solution
KW - singular nonlinear wave system
KW - Solitary wave
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84862736334&origin=recordpage
U2 - 10.1142/S0218127412501180
DO - 10.1142/S0218127412501180
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 22
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 5
M1 - 1250118
ER -