Geometric singular perturbation method to the existence and asymptotic behavior of traveling waves for a generalized Burgers–KdV equation

2015 ◽  
Vol 83 (1-2) ◽  
pp. 65-73 ◽  
Author(s):  
Ying Xu ◽  
Zengji Du ◽  
Lei Wei
Keyword(s):  
Asymptotic Behavior ◽  
Singular Perturbation ◽  
Perturbation Method ◽  
Traveling Waves ◽  
Kdv Equation ◽  
Singular Perturbation Method ◽  
Geometric Singular Perturbation ◽  
Geometric Singular Perturbation Method

Singular Perturbation Method for Solving Non-Linear Vibration of Stay Cable (I) - Theory Research

2011 ◽  
Vol 147 ◽  
pp. 112-116
Author(s):  
Zhi Hong Ran ◽  
Jun Tong Qu ◽  
Fei He ◽  
Sheng Miao
Keyword(s):  
Singular Perturbation ◽  
Perturbation Method ◽  
Stay Cable ◽  
Linear Vibration ◽  
Singular Perturbation Method ◽  
Cable Structure ◽  
Non Linear ◽  
Cable Force ◽  
Set Up ◽  
Theory Research

In order to solve the difficult in calculating cable vibration, the non-linear dynamic model of cable was set up with geometrical non-linearity. The differential equation was solved using the singular perturbation method. The analytical expression of frequency and form function was deduced. The expression can be widely used for the field of measurement of cable force and identification of parameter in cable structure.

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