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An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
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2014/4/3
We give an example of a well posed, nite energy, 2D incompressible active scalar equation with the same scaling as the surface quasi-geostrophic equation and prove that it can produce nite time sing...
Homotopy perturbation Pade technique for constructing approximate and exact solutions of Boussinesq equations
Homotopy perturbation method Padé approximants
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2010/9/13
Based on the homotopy perturbation method (HPM) and Padé approximants (PA), explicit approximate and exact solutions are obtained for cubic Boussinesq equations. HPM is used for analytic treatment to ...
On solving nonlinear modified Boussinesq equations
Whitham-Broer-Kaup(WBK) equations modified Boussinesq equations(MB) Variational iteration method (VIM)
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2010/9/10
In this letter, He’s Variational iteration method (VIM) is implemented for solving the special case of nonlinear Whitham-Broer-Kaup partial differential equation, is named modified Boussinesq (MB). Th...