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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars： Dispersive estimates for the inviscid rotating stratified Boussinesq equations in the stratification-dominant three-scale limit
分层主导 三尺度极限 无粘性旋转分层 Boussinesq方程 色散估计
2023/5/5
A dispersive decay estimate is proven for the linear propagator of the three-scale rotating stratified Boussinesq equations in the stratification-dominant regime. Because the phase function of that pr...
An incompressible 2D didactic model with singularity and explicit solutions of the 2D Boussinesq equations
Inviscid model, singularity explicit solutions 2D Boussinesq equations
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
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)
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...
Symmetry Reductions, Integrability and Solitary Wave Solutions
to High-Order Modified Boussinesq Equations with Damping Term
modified Boussinesq equation with the damping term nonlinear evolution
equation symmetry reduction integrability solitary wave solution
2007/8/15
2001Vol.36No.1pp.1-6DOI:
Symmetry Reductions, Integrability and Solitary Wave Solutions
to High-Order Modified Boussinesq Equations with Damping Term
YAN Zhen-Ya, XIE Fu-Ding and ...
Extended Fan's Algebraic Method and Its Application
to KdV and Variant Boussinesq Equations
algebraic method KdV equation variant boussinesq equations polynomial complete
discrimination system
2007/8/15
2007Vol.48No.1pp.1-6DOI:
Extended Fan's Algebraic Method and Its Application
to KdV and Variant Boussinesq Equations
YANG Xian-Lin1,2 and TANG Jia-Shi1
1 College of Mec...
New Soliton Solutions with Compact Support for a Family of
Two-Parameter Regularized Long-Wave Boussinesq Equations
nonlinear evolution equation R(m n) equations compacton solution
2007/8/15
2002Vol.37No.6pp.641-644DOI:
New Soliton Solutions with Compact Support for a Family of
Two-Parameter Regularized Long-Wave Boussinesq Equations
YAN Zhen-Ya
Department o...
Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations
F-expansion variant Boussinesq equations periodic wave solutions Jacobi elliptic functions solitary wave solutions
2007/8/15
2005Vol.44No.3pp.396-400DOI:
Applications of F-expansion to Periodic Wave Solutions for Variant Boussinesq Equations
WANG Yue-Ming,1 LI Xiang-Zheng,1 YANG Sen,1
and WANG Ming-Lian...