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Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method
He’s Variational Iteration Method Shallow Water Wave Equation
2013/1/30
In this paper, we consider two extended model equations for shallow water waves. We use He’s variational iteration method (VIM) to solve them. It is proved that this method is a very good tool for sha...
Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows
Particle trajectories small amplitude vorticity flows
2011/9/14
We investigate the particle trajectories in a constant vorticity shallow water flow over a flat bed as periodic waves propagate on the water’s free surface. Within the framework of small amplitude wav...
Particle trajectories beneath small amplitude shallow water waves in constant vorticity flows
Particle trajectories beneath small amplitude constant vorticity flows Fluid Dynamics
2011/7/26
Abstract: We investigate the particle trajectories in a constant vorticity shallow water flow over a flat bed as periodic waves propagate on the water's free surface. Within the framework of small amp...
Fully Nonlinear Shallow Water Waves Simulation Using Green-Naghdi Theory
Green-Naghdi theory model fully nonlinear water waves shoaling waves
2011/9/8
Green-Naghdi (G-N) theory is a fully nonlinear theory for water waves. Some researchers call it a fully nonlinear Boussinesq model. Different degrees of complexity of G-N theory are distinguished by “...
Harmonic Generation of Shallow Water Waves Over Topography
Harmonic Generation Shallow Water Waves Topography
2009/4/3
We investigate the reflection and nonlinear interaction between the first and second harmonics of a two-dimensional Boussinesq wavetrain. Effects of topography are included, the depth departing from a...
KdV-Burgers Equation for a Viscous Flowing Shallow Water Waves
soliton KdV-Burgers equation
2007/8/15
2002Vol.37No.6pp.739-740DOI:
KdV-Burgers Equation for a Viscous Flowing Shallow Water Waves
DUAN Wen-Shan
Department of Physics, Northwest Normal University,
Lanzhou 730...
Quasi-potential Method to Study Nonlinear Surface Shallow Water
Waves
shallow water wave solitary potential
2007/8/15
2004Vol.42No.1pp.117-120DOI:
Quasi-potential Method to Study Nonlinear Surface Shallow Water
Waves
DUAN Wen-Shan and DOU Fu-Quan
Department of Physics, Northwest Normal ...