Topographic solitary waves by the shooting method and Fourier spectral method
The influences of topography on barotropic Rossby solitary waves are discussed in this paper. A Boussinesq model equation of nonlinear Rossby wave amplitude is derived by using the perturbation expansion method and the space–time transformation.
Jiaqi Zhang, Ruigang Zhang, Liangui Yang
doaj +1 more source
N=2 Super - $W_{3}$ Algebra and N=2 Super Boussinesq Equations
We study classical $N=2$ super-$W_3$ algebra and its interplay with $N=2$ supersymmetric extensions of the Boussinesq equation in the framework of the nonlinear realization method and the inverse Higgs - covariant reduction approach.
Ivanov, E., Krivonos, S., Malik, R. P.
core +1 more source
On the Variant Boussinesq Equations [PDF]
Abstract We extend the generalized tan h method to the variant Boussinesq equations and obtain certain solitary-wave and new exact solutions.
Yi-Tian Gao, Bo Tian
openaire +1 more source
A pilot variational coupled reanalysis based on the CESAM climate model
Variational data assimilation of in‐situ and satellite ocean data and reanalysis atmospheric data into an intermediate complexity Earth system model is possible by adjusting the surface fluxes and internal model parameters. This pilot application requires nearly complete information on the atmospheric state for synchronization.
Armin Köhl +6 more
wiley +1 more source
Spectrally accurate energy‐preserving methods for the numerical solution of the “good” Boussinesq equation [PDF]
In this paper we study the geometric numerical solution of the so called “good” Boussinesq equation. This goal is achieved by using a convenient space semi‐discretization, able to preserve the corresponding Hamiltonian structure, then using energy ...
L. Brugnano, G. Gurioli, Chengjian Zhang
semanticscholar +1 more source
Modeling of water table profile variations owing to stream–aquifer interaction
Spatial and temporal variations of the water table could be explained by the one-dimensional Boussinesq equation by incorporating the variables of evapotranspiration and groundwater recharge with appropriate initial and boundary conditions. In this study,
Ashutosh Upadhyaya +2 more
doaj +1 more source
Turbulent snow transport and accumulation: New reduced‐order models and diagnostics
Our new reduced‐order models of snow particle transport provide high‐fidelity calculations of snow accumulation in turbulent flows at significantly reduced computational costs. Additional accumulation diagnostics from the reduced‐order model predict complex patterns of particle concentration in turbulent boundary layers via coherent flow structures in ...
Nikolas O. Aksamit +3 more
wiley +1 more source
On trilinear and quadrilinear equations associated with the lattice Gel’fand–Dikii hierarchy
Introduced in Zhang et al. (2012), the trilinear Boussinesq equation is the natural form of the equation for the τ-function of the lattice Boussinesq system.
P.H. van der Kamp +3 more
doaj +1 more source
Existence of periodic traveling wave solutions to the generalized forced Boussinesq equation
The generalized forced Boussinesq equation, utt−uxx+[f(u)]xx+uxxxx=h0, and its periodic traveling wave solutions are considered. Using the transform z=x−ωt, the equation is converted to a nonlinear ordinary differential equation with periodic boundary ...
Kenneth L. Jones, Yunkai Chen
doaj +1 more source
Slantwise Convection and Heat Transport in Icy Moon Oceans
Abstract Ocean heat transport on icy moons shapes the ice shell topography, a primary observable of these moons. Two key processes control the heat transport: baroclinic instability driven by surface buoyancy contrasts and convective instability driven by heating from the core.
Yaoxuan Zeng, Malte F. Jansen
wiley +1 more source

