Exact periodic solutions of the sixth-order generalized Boussinesq equation

2009 ◽  
Vol 42 (37) ◽  
pp. 375501 ◽  
Author(s):  
O Y Kamenov
Keyword(s):  
Periodic Solutions ◽  
Boussinesq Equation ◽  
Sixth Order ◽  
Generalized Boussinesq Equation

On the quasi-periodic solutions for generalized Boussinesq equation with higher order nonlinearity

2014 ◽  
Vol 94 (10) ◽  
pp. 1977-1996 ◽  
Author(s):  
Yanling Shi ◽  
Junxiang Xu ◽  
Xindong Xu ◽  
Shunjun Jiang
Keyword(s):  
Periodic Solutions ◽  
Boussinesq Equation ◽  
Higher Order ◽  
Generalized Boussinesq Equation

scholarly journals Blow-up for the sixth-order multidimensional generalized Boussinesq equation with arbitrarily high initial energy

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Jianghao Hao ◽  
Aiyuan Gao
Keyword(s):  
Cauchy Problem ◽  
Fourier Transform ◽  
Finite Time ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Initial Energy ◽  
Sixth Order ◽  
The Cauchy Problem ◽  
Generalized Boussinesq Equation

AbstractIn this paper, we consider the Cauchy problem for the sixth-order multidimensional generalized Boussinesq equation with double damping terms. By using the improved convexity method combined with Fourier transform, we show the finite time blow-up of solution with arbitrarily high initial energy.

On quasi-periodic solutions for a generalized Boussinesq equation

2014 ◽  
Vol 105 ◽  
pp. 50-61 ◽  
Author(s):  
Yanling Shi ◽  
Junxiang Xu ◽  
Xindong Xu
Keyword(s):  
Periodic Solutions ◽  
Boussinesq Equation ◽  
Generalized Boussinesq Equation
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