TY - JOUR
T1 - Bifurcations, Exact Peakon, Periodic Peakons and Solitary Wave Solutions of the Cubic Camassa-Holm Type Equation
AU - Zhou, Yuqian
AU - Chen, Guanrong
AU - Li, Jibin
PY - 2023/1
Y1 - 2023/1
N2 - For the cubic Camassa-Holm type equation, by using the techniques from dynamical systems and singular traveling wave theory developed by Li and Chen [2007] to analyze its corresponding traveling wave system, it was found that under different parameter conditions, its bifurcation portraits exhibit all possible exact explicit bounded solutions (solitary wave solutions, periodic wave solutions, peakon as well as periodic peakons). A total of 19 explicit exact parametric representations of the traveling wave system of the Camassa-Holm type equation are presented. © 2023 World Scientific Publishing Company.
AB - For the cubic Camassa-Holm type equation, by using the techniques from dynamical systems and singular traveling wave theory developed by Li and Chen [2007] to analyze its corresponding traveling wave system, it was found that under different parameter conditions, its bifurcation portraits exhibit all possible exact explicit bounded solutions (solitary wave solutions, periodic wave solutions, peakon as well as periodic peakons). A total of 19 explicit exact parametric representations of the traveling wave system of the Camassa-Holm type equation are presented. © 2023 World Scientific Publishing Company.
KW - Bifurcation
KW - cubic Camassa-Holm type equation
KW - peakon
KW - periodic peakon
KW - periodic wave
KW - solitary wave
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U2 - 10.1142/S0218127423500141
DO - 10.1142/S0218127423500141
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 33
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 1
M1 - 2350014
ER -