Existence and Orbital Stability of Solitary-Wave Solutions for Higher-Order BBM Equations

2016 ◽  
Vol 49 (3) ◽  
pp. 293-318 ◽  
Author(s):  
J. M. Yuan
Keyword(s):  
Solitary Wave ◽  
Orbital Stability ◽  
Higher Order ◽  
Solitary Wave Solutions ◽  
Wave Solutions

Solitary wave solutions to higher-order traffic flow model with large diffusion

2014 ◽  
Vol 35 (2) ◽  
pp. 167-176
Author(s):  
Xiao-xia Jian ◽  
Peng Zhang ◽  
S. C. Wong ◽  
Dian-liang Qiao ◽  
Kee-choo Choi
Keyword(s):  
Solitary Wave ◽  
Traffic Flow ◽  
Flow Model ◽  
Higher Order ◽  
Solitary Wave Solutions ◽  
Traffic Flow Model ◽  
Wave Solutions ◽  
Large Diffusion

TRAVELING WAVES FOR AN INTEGRABLE HIGHER ORDER KDV TYPE WAVE EQUATIONS

2006 ◽  
Vol 16 (08) ◽  
pp. 2235-2260 ◽  
Author(s):  
JIBIN LI ◽  
JIANHONG WU ◽  
HUAIPING ZHU
Keyword(s):  
Solitary Wave ◽  
Wave Equations ◽  
Sufficient Conditions ◽  
Periodic Wave ◽  
Higher Order ◽  
Solitary Wave Solutions ◽  
Periodic Wave Solutions ◽  
Wave Solutions ◽  
Kink Wave ◽  
Planar Dynamical Systems

Using the method of planar dynamical systems to a higher order wave equations of KdV type, the existence of smooth and nonsmooth solitary wave, kink wave and uncountably infinite many periodic wave solutions is proved. In different regions of the parametric space, the sufficient conditions to guarantee the existence of the above solutions are given. In some spatial conditions, the exact explicit parametric representations of solitary wave solutions are determined.

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