On analytical solutions of the generalized Boussinesq equation

2016 ◽  
Author(s):  
Nikolay A. Kudryashov ◽  
Alexandr K. Volkov
Keyword(s):  
Analytical Solutions ◽  
Boussinesq Equation ◽  
Generalized Boussinesq Equation

Blow up of Solution for the Generalized Boussinesq Equation with Damping Term

2006 ◽  
Vol 61 (5-6) ◽  
pp. 235-238
Author(s):  
Necat Polat ◽  
Doğan Kaya
Keyword(s):  
Boundary Value Problem ◽  
Finite Time ◽  
Boussinesq Equation ◽  
Blow Up ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Initial Energy ◽  
Damping Term ◽  
Initial Boundary Value ◽  
Generalized Boussinesq Equation

We consider the blow up of solution to the initial boundary value problem for the generalized Boussinesq equation with damping term. Under some assumptions we prove that the solution with negative initial energy blows up in finite time

Analytical Solutions to the Linearized Boussinesq Equation for Assessing the Effects of Recharge on Aquifer Discharge1

2010 ◽  
Vol 46 (6) ◽  
pp. 1116-1132 ◽  
Author(s):  
Kevin G. Boggs ◽  
Robert W. Van Kirk ◽  
Gary S. Johnson ◽  
Jerry P. Fairley ◽  
P. Steve Porter
Keyword(s):  
Analytical Solutions ◽  
Boussinesq Equation ◽  
Linearized Boussinesq Equation
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